Sets, spaces, and functions  Page description

Help  Print 
Back »

 

Details of project

 
Identifier
113047
Type K
Principal investigator Juhász, István
Title in Hungarian Halmazok, terek és függvények
Title in English Sets, spaces, and functions
Keywords in Hungarian halmazelmélet, végtelen gáfok, topologikus tér, lengyel tér, valós analízis, modellelmélet
Keywords in English set theory, infinite graphs, topological space, polish space, real function theory, model theory
Discipline
Mathematics (Council of Physical Sciences)100 %
Ortelius classification: Set theory
Panel Mathematics and Computing Science
Department or equivalent Alfréd Rényi Institute of Mathematics
Participants Elekes, Márton
Gyenis, Zalán
Joó, Attila
Kiss, Viktor
Sági, Gábor
Soukup, Dániel Tamás
Soukup, Lajos
Szentmiklóssy, Zoltán
Sziráki, Dorottya
Vidnyánszky, Zoltán
Vizer, Máté
Starting date 2015-02-01
Closing date 2020-01-31
Funding (in million HUF) 27.656
FTE (full time equivalent) 21.03
state closed project
Summary in Hungarian
A kutatás összefoglalója, célkitűzései szakemberek számára
Itt írja le a kutatás fő célkitűzéseit a témában jártas szakember számára.

A halmazelmélet, szinte megalkotása óta, fontos része a magyar matematikának, jól mutatja ezt olyan nagy
matematikusaink e téren végzett munkássága, mint König Gyula, Neumann János, vagy később Erdős Pál és munkatársai: Fodor Géza és Hajnal András. Az utóbbiakhoz szorosan kapcsolódik az a nemzetközi jelentőségű halmazelméleti topológiai iskola, melyet a 60-as évek óta Hajnal András és a jelen pályázó hozott létre Budapesten, az Erdős nevével fémjelzett kombinatorikus halmazelmélet és a modern axiomatikus halmazelmélet
módszereinek addig megoldhatatlannak tűnő általános topológiai kérdések megoldására.

Egyik fő célunk ezeknek a vizsgálatoknak folytatása további -- a kutatási tervben részletezett -- megoldatlan és csak részben megoldott problémák esetében. Több fiatal kutató bevonásával kutatni kivánjuk az utóbbi
időkben egyre nagyobb nemzeközi jelentőségre szert tett leíró halmazelmélet számos problémáját is. Ezek objektumai az u.n. lengyel terek, ha tetszik, az euklideszi terek, definiálható részhalmazai, s így fontos alkalmazásai vannak a "mindennapi" matematika, pl. a valós analizis terén. Végül érdekes új kutatási témánk
bizonyos modellelméleti eszközöknek, pl. az ultraszorzatoknak alkalmazása véges és végtelen kombinatorikai --
főleg Ramsey-tipusú -- problémákra.

Mi a kutatás alapkérdése?
Ebben a részben írja le röviden, hogy mi a kutatás segítségével megválaszolni kívánt probléma, mi a kutatás kiinduló hipotézise, milyen kérdéseket válaszolnak meg a kísérletek.

Régi és új problémák vizsgálata a kombinatorikus halmazelmélet és a halmazelmélet területén, továbbá új mód-
szerek elsajátítása és alkalmazása a leíró halmazelméletben, illetve a modellelméletben..

Mi a kutatás jelentősége?
Röviden írja le, milyen új perspektívát nyitnak az alapkutatásban az elért eredmények, milyen társadalmi hasznosíthatóságnak teremtik meg a tudományos alapját. Mutassa be, hogy a megpályázott kutatási területen lévő hazai és a nemzetközi versenytársaihoz képest melyek az egyediségei és erősségei a pályázatának!

A magyar halmazelméleti és halmazelméleti topológiai iskolák nemzetközi hhírű eredményeinek gazdagítása,
továbbá az új leíró halmazelméleti és modell-elméleti eredmények és módszerek meghonosítása és sikeres alkalmazása.

A kutatás összefoglalója, célkitűzései laikusok számára
Ebben a fejezetben írja le a kutatás fő célkitűzéseit alapműveltséggel rendelkező laikusok számára. Ez az összefoglaló a döntéshozók, a média, illetve az érdeklődők tájékoztatása szempontjából különösen fontos az NKFI Hivatal számára.

A halmazelmélet az egész matematika megalapozásában alapvető jelentőségű, emellett igen érdekes és nehéz
saját problémákat is felvet. Továbbá a végtelen fogalmának filozófiai vizsgálatában is nélkülözhetetlen a szerepe. Kutatásunk ezeknek a fontos kérdéseknek megértéséhez és megválaszolásához visz közelebb.
Summary
Summary of the research and its aims for experts
Describe the major aims of the research for experts.

Set theory, almost since its creation, has been an important area of Hungarian mathematics. This is well documented by the work of such great Hungarian mathematicians as J. König, J. von Neumann, or P. Erdős with
collaborators G. Fodor and A. Hajnal. Closely related to the latter is the internationally recognized school of
set theoretical topology that has been established from the 60's on in Budapest by A. Hajnal and the PI. They
succeeded to solve, using methods of combinatorial set theory created by Erdős' school and modern methods of axiomatic set theory, numerous problems of general topology that seemed to be unsolvable before.

One of our main objectives is to carry on our research in these traditional fields, in order to solve certain unsolved or just partially solved problems described in details in our research plan . With the co-operation of several young
researchers we also intend to study a number of problems in descriptive set theory, an area that has become more
and more significant recently. The objects of this are definable subsets of Polish spaces, if you like: Euclidian spaces, hence they have important applications in "every day" mathematics, in particular real analysis. Finally, as
an interesting new research topic we would like to apply certain methods of model theory, e.g. ultraproducts, to
problems of finite and infinite combinatorics, mainly to Ramsey-type problems.

What is the major research question?
Describe here briefly the problem to be solved by the research, the starting hypothesis, and the questions addressed by the experiments.

The investigation and solution of several old and new unsolved or just partially solved problems of combinatorial set theory and set theoretic topology. Moreover, the study and application of new methods of descriptive set theory and model theory.

What is the significance of the research?
Describe the new perspectives opened by the results achieved, including the scientific basics of potential societal applications. Please describe the unique strengths of your proposal in comparison to your domestic and international competitors in the given field.

Enrichment of the results of the internationally famed Hungarian schools of combinatorial set theory as well as
acquiring and successfully applying new methods of descriptive set theory and model theory.

Summary and aims of the research for the public
Describe here the major aims of the research for an audience with average background information. This summary is especially important for NRDI Office in order to inform decision-makers, media, and others.

Set theory plays a decisive role in the foundation of all mathematics and, at the same time, possesses very interesting internal problems as well. Moreover, it is also indispensable in the philosophical study of the concept of the "infinite". Our research will help to get closer to the understanding and answering of these important questions.





 

Final report

 
Results in Hungarian
A K113047 sz. projekt keretében -- kutatási tervünknek megfelelően -- az alábbi területeken végeztünk kutatásokat: -- Halmazelméleti topológia -- Végtelen kombinatorika -- Leíró halmazelmélet -- Modellelmélet és matematika filozófiája Eredményeinket 53 publikációban közöltük, melyek túlnyomó többsége a megfelelő területek vezető nemzetközi folyóirataiban jelentek meg. (Ezek közül 6 cikk már be lett nyújtva, de még nincs e pillanatig elfogadva.) Eredményeink jelentőségét jól demonstrálja, hogy 20 cikk Q1-es, továbbá 14 cikk Q2-es minősítésű folyóiratban jelent (ill. jelenik) meg. Kutatócsoportunk a vezető kutató mellett 8 résztvevő kutatóból és 2 PhD-hallgatóból állt. Utóbbiak mindketten megszerezték a PhD fokozatot a projekt tartama alatt, s lényegesen járultak hozzá az eredményeinkhez. Vizer Máté 2015-09-01-én kilépett a projektből, s Soukup Dániel lépett helyére ugyanezen időponttól. 2017-09-01-től Joó Attila is csatlakozott. Kutatási eredményeinkről számos nemzetközi konferencián is számot adtunk, közülünk ötn (Elekes, Juhász, Sági, Soukup D. és Soukup L.) több jelentős konferencián mint plenáris és/vagy meghívott előadó.
Results in English
In the project K113047, according our research plan, we have done research and nestablished a number of significant results in the following areas: - Set-theoretic topology - Infinite combinatorics - Descriptive set theory and real analysis - Model theory and philosophy of mathematics We presented our results in 53 publications, almost all of which appeared or will appear in the leading international journals of these fields (6 of these papers have been submitted but not accepted as yet). The quality of our results is well demonstrated by the fact that 20 of our papers appeared in Q1 and 14 in Q2 journals. Our research group consisted of the PI and 8 participants, moreover 2 PhD students. Both of them received their degrees in the course of our project and contributed significantly to our results. M. Vizer left the project on 2015-09-01 and on the same date D. Soukup joined it. Also, A. Joó joined our project on 2017-09-01. Members of our group participated at a large number of international conferences, five of us (Elekes, Juhász, Sági, L. Soukup and D. Soukup) as plenary and/or invited speakers at many of these.
Full text https://www.otka-palyazat.hu/download.php?type=zarobeszamolo&projektid=113047
Decision
Yes





 

List of publications

 
Juhász I. , Soukup L. , Szentmiklóssy Z.: Spaces of small cellularity have nowhere constant continuous images of small weight, Top. Appl, to appear, 2019
Juhász I; Soukup L; Szentmiklóssy Z::: On cellular-compact spaces, Acta Math Hung, to appea, 2020
I Juhász, L Soukup, Z Szentmiklóssy: Regular spaces of small extent are omega-resolvable, FUND MATH 228: 27-46, 2015
Juhasz I, Shelah S: STRONG COLORINGS YIELD kappa-BOUNDED SPACES WITH DISCRETELY UNTOUCHABLE POINTS, P AM MATH SOC 143: (5) 2241-2247, 2015
Carroy R, Pequignot Y, Vidnyanszky Z: Topological embeddability among functions: order and chaos, Transactions of the AMS, to appear, 2019
Soukup L and Stanley A.: Resolvability in c.c.c. generic extensions, Topology and its Appl., submitted, 2017
Juhász I; Soukup L; Szentmiklóssy Z:: Coloring Cantor sets and resolvability of pseudocompact spaces, CMUC, Vol. 59,4 (2018), pp. 523-529., 2018
Juhász I and van Mill J:: On maps preserving compactness and/or connectedness, CMUC, Vol 59, 4 (2018), pp. 513 - 521., 2018
D. T. Soukup; L. Soukup, ,: Infinite combinatorics plain and simple, Journal of Symbolic Logic, Volume 83, Issue 3 September 2018, pp. 1247-1281, 2018
Komjáth P; Leader I; Russell P A; Shelah S; Soukup D T; Vidnyánszky Z: Infinite monochromatic sumsets for colourings of the reals, Proceedings of the AMS , to appear, 2019
Ellis P; Soukup D T: Cycle reversions and dichromatic number in tournaments,, European Journal of Combinatorics, Volume 77, March 2019, pp. 31-48, 2019
D. T. Soukup,: Uncountable strongly surjective linear orders, Order, to appear, 2018
Darji U.B. Elekes M., Kalina K., Kiss V., Vidnyánszky Z.: The structure of random homeomorphisms of the random graph, Israel J. Math.., submitted, 2019
Darji U.B. Elekes M., Kalina K., Kiss V., Vidnyánszky Z: The structure of random homeomorphisms, Adv. Math., submitted, 2018
Juhász I; Soukup L; Szentmiklóssy: On the resolvability of Lindel¨of-generated and (countable extent)-generated spaces, Top. Appl., to appear, 2019
Dow, A; Juhász I; Soukup L; Szentmiklóssy Z; Weiss W: On the tightness of Gδ-modifications, Acta Math. Hung., to appear, 2019
Dow, A; Juhász I: Densely k-separable compacta are densely separable, Top. Appl., to appear, 2019
Martinez J-C; Soukup L: A consistency result on long cardinal sequences, Ann. Pure Appl. Logic, submitted, 2019
Joó, A: Vertex-flames of countable digraphs preserving an Aharoni-Berger cut for each vertex, Combinatorica, submitted, 2019
Joó, A: On partitioning the edges of an infinite digraph into dicycles, Advances in Combinatorics, submitted, 2019
Darji U.B., Elekes M., Kalina K, Kiss V., Vidnyánszky Z.: The structure of random automorphisms of countable structures, Trans. Amer. Math. Soc., to appear, 2019
Miller B D; Vidnyanszky Z: On the existence of large antichains for definable quasi-orders, J. Symb. Logic, submitted, 2019
Darji U B, Elekes M., Kalina K, Kiss V., Vidnyanszky Z: The structure of random automorphisms of the rational numbers, Fund. Math., submitted, 2019
Elekes M., Nagy D., Poor M., Vidnyanszky Z: A Haar meager set that is not strongly Haar meage, Israel J. Math., submitted, 2019
Soukup D T: Ladder system uniformization on trees I, submitted, Archive for Mathematical Logic, 2019
Soukup D T: Ladder system uniformization on trees II, Fundamenta Math, submitted, 2019
Martinez J-C; Soukup: On cardinal sequences of length< ω_3, Journal of Symbolic Logic, submitted, 2019
Carroy R; Miller B D; Schrittesser D; Vidnyánszky Z: Minimal definable graphs with no definable two-colorings, in preparation, 2019
Elekes, M. and Steprans, J.: Set-theoretical problems concerning Hausdorff measures, Proc. Amer. Math. Soc., 147 (2019), no. 4, 1709–1717, 2019
Farkas B, Khomskii Y, and Vidnyánszky Z:: Almost disjoint refinements and mixing reals, Fund. Math., 242 (2018), no. 1, 25–48, 2018
Gyenis Z and Redei M: Why Bertrand's paradox is not paradoxical but is felt so?, Recent Developments in the Philosophy of Science: EPSA13 Helsinki, U. Maki, S. Ruphy, G. Schurz, I. Votsis, (eds.) Springer, 2016
Andréka H, Gyenis Z, Németi I: Ultraproducts of continuous posets, Algebra Universalis, 76:2, 231--235, 2016, 2016
Gyenis Z and Redei M: General properties of general Bayesian learning, Reviews of Symbolic Logic, Vol. 10, Issue 4, pp. 719-755, 2017
Hofer-Szabo G, Gyenis Z and Redei M: Conditioning using conditional expectations: The Borel-Kolmogorov Paradox, Synthese, Vol. 194, Issue 7, pp. 2595-2630, 2017, 2017
Carroy R, Pequignot Y, Vidnyanszky Z: Embeddability on functions: order and chaos, Transactions of the AMS, 371 (2019), no. 9, 6711–6738, 2019
Juhász I; Soukup L; Szentmiklóssy Z: First countable and almost discretely Lindelöf T3 spaces have cardinality at most continuum, Topology and its Applications, 241 (2018), 145–149, 2018
Gyenis Z and Rédei M: Categorial subsystem independence as morphism co-possibility, Communications in Mathematical Physics, Vol. 357, Issue 1, pp. 447--465, 2018, 2018
Soukup L and Stanley A.: Resolvability in c.c.c. generic extensions, Comment. Math. Univ. Carolin. 58 (2017), no. 4, 519–529, 2017
Juhász I; Soukup L; Szentmiklóssy Z; van Mill J: Connected and/or homogeneos pd-examples, Top. Appl., to appear, 2018
Komjáth P; Leader I; Russell P A; Shelah S; Soukup D T; Vidnyánszky Z: Infinite monochromatic sumsets for colourings of the reals, Proceedings of the AMS , 147 (2019), no. 6, 2673–2684, 2019
D. T. Soukup,: Uncountable strongly surjective linear orders, Order, 36 (2019), no. 1, 43–64, 2019
Gyenis Z: Algebraic characterization of the local Craig interpolation property, Bulletin of the Section of Logic, Vol. 47, No. 1, pp. 45--59, 2018, 2018
Gyenis Z: Bayes logic over standard Borel spaces is not finitely axioma- tizable, Review of Symbolic Logic, to appear, 2017
Elekes M. and Nagy D: Haar null and Haar meager sets: a survey and new results, Bull. London Math. Soc., to appear, 2020
Darji U.B. Elekes M., Kalina K., Kiss V., Vidnyánszky Z: The structure of random homeomorphisms, Israel J. Math., to appear, 2019
Kiss V: A game characterizing Baire class 1 functions, J. Symbolic Logic, to appear, 2019
Juhász I; Soukup L; Szentmiklóssy: On the resolvability of Lindel¨of-generated and (countable extent)-generated spaces, Top. Appl, 259, 1 (2019) , pp 267--274, 2019
Dow, A; Juhász I; Soukup L; Szentmiklóssy Z; Weiss W: On the tightness of Gδ-modifications, Acta Math. Hung., 158, 2 (2019) , pp 294--301, 2019
Joó, A: Vertex-flames of countable digraphs preserving an Aharoni-Berger cut for each vertex, Combinatorica, to appear, 2019
Darji U.B., Elekes M., Kalina K, Kiss V., Vidnyánszky Z.: The structure of random automorphisms of countable structures, Trans. Amer. Math. Soc., 371, no. 12, 8829-8848, 2019
Darji U B, Elekes M., Kalina K, Kiss V., Vidnyanszky Z: The structure of random automorphisms of the rational numbers, Fund. Math., to appear, 2020
Elekes M., Nagy D., Poor M., Vidnyanszky Z: A Haar meager set that is not strongly Haar meage, Israel J. Math., https://doi.org/10.1007/s11856-019-1950-y, 2019
Martinez J-C; Soukup L: On cardinal sequences of length < ω_3, Top. Appl, 260 (2019), 116–125, 2019
Carroy R; Miller B D; Schrittesser D; Vidnyánszky Z: Minimal definable graphs with no definable two-colorings, Forum of Math. Sigma, submitted, 2019
Sági G and Horváth R: Algebraic Non-computable Models of Certain First Order Theories, INFORMATICS 2017: 2017 IEEE 14th International Scientific Conference on Informatics Proceedings. Kosice: IEEE Hungary Section, 2017. pp. 306-312., 2017
Gyenis Z: Algebraic characterization of the local Craig interpolation property, Bulletin of the Section of Logic, submitted, 2017
Gyenis Z: Bayes logic over standard Borel spaces is not finitely axioma- tizable, Review of Symbolic Logic, submitted, 2017
Elekes M. and Nagy D: Haar null and Haar meager sets: a survey and new results, Fund. Math., submitted, 2018
Darji U.B. Elekes M., Kalina K., Kiss V., Vidnyánszky Z.: The structure of random homeomorphisms, J. London Math. Soc., submitted, 2018
Darji U.B. Elekes M., Kalina K., Kiss V., Vidnyánszky Z: The structure of random homeomorphisms, Adv. Math., submitted, 2018
Kiss V: A game characterizing Baire class 1 functions, Proc. Amer. Math. Soc., submitted, 2018
Todorcevic, S. Vidnyánszky Z.: A complexity problem for Borel graphs, J. Amer. Math. Soc., submitted, 2018
Gyenis Z and Rédei M: Categorial subsystem independence as morphism co-possibility, Communications in Mathematical Physics, submitted, 2017
Soukup D T: Decompositions of edge-colored infinite complete graphs into monochromatic paths II, Israel Journal of Math. , submitted, 2016
Juhász I; Soukup L; Szentmiklóssy Z:: Anti-Urysohn spaces, Topology and its Applications, 213 (2016), pp. 8–23., 2016
Juhász I; Soukup L; Szentmiklóssy Z: Pinning Down versus Density, Israel J. Math., 215(2) (2016), pp. 583– 605., 2016
Elekes, M. and Vidnyánszky, Z.: Naively Haar null sets in Polish groups, J. Math. Anal. Appl., 446 (2017), no. 1, 193-200., 2017
Farkas B, Khomskii Y, and Vidnyánszky Z:: Almost disjoint refinements and mixing reals, Fund. Math., to appear, 2017
Sziráki D and Vaanenen J:: A dichotomy theorem for the generalized Baire space and elementary embeddability at uncountable cardinals, Fundamenta Mathematicae, to appear, 2017
Andréka H, Gyenis Z, Németi I: Ultraproducts of continuous posets, Algebra Universalis, to appear, 2017
Elekes M., Vidnyanszky Z.: Characterization of order types of pointwise linearly ordered families of Baire class 1 functions, Adv. Math. 307 (2017), 559–597., 2017
Elekes, M., Soukup, D. T., Soukup, L., Szentmiklóssy, Z: Decompositions of edge-colored infinite complete graphs into monochromatic paths, Discrete Math., to appear, 2017
Kiss V.: Classification of bounded Baire class $\xi$ functions, Fund. Math. 236 (2017), 141-160., 2017
Hujter B., Kiss V., Tóthmérész L.: On the complexity of the chip-firing reachability problem, Proc. Amer. Math. Soc., to appear, 2017
R. Carroy, Y. Pequignot, Vidnyanszky Z.: Topological embeddability among functions: order and chaos, Transactions of the AMS, submitted, 2017
Juhász I; van Mill J: On $\sigma$-countably tight spaces, Proc. Amer. Math. Soc., to appear, 2017
Juhász I and van Mill J: Variations on countable tightness, Acta Math. Hung., submitted, 2017
Juhász I; Tkachuk V V; Wilson R G: Weakly linearly Lindelöf monotonically normal spaces are Lindelöf, Studia Sci. Math. Hung., submitted, 2017
Juhász I; Soukup L; Szentmiklóssy Z: First countable and almost discretely Lindelöf T3 spaces have cardinality at most continuum, Topology and its Applications, submitted, 2017
Gyenis Z and Rédei M: Categorial subsystem independence as morphism co-possibility, Communications in Mathematical Physics, submitted, 2017
Soukup L and Stanley A.: Resolvability in c.c.c. generic extensions, ??, submitted, 2017
Juhász I; Soukup L; Szentmiklóssy Z; van Mill J: Connected and homogeneos pd-examples, in preparation, 2017
Sági, G and Nyiri D:: On embeddings of finite metric spaces, In: Proceedings of the Informatics 2015 conference, Poprad, Szlovákia, 2015 Nov. 18-20, editors: Valerie Novitzká, Stefan Korecko, Anikó Szakál, Kosice, pp. 227-231, 2015
Sziráki D and Vaanenen J:: A dichotomy theorem for the generalized Baire space and elementary embeddability at uncountable cardinals, Fundamenta Mathematicae, 238 (2017) , 53-78., 2017
Elekes, M., Soukup, D. T., Soukup, L., Szentmiklóssy, Z: Decompositions of edge-colored infinite complete graphs into monochromatic paths, Discrete Math. 340 (2017), no. 8, 2053–2069, 2017
Hujter B., Kiss V., Tóthmérész L.: On the complexity of the chip-firing reachability problem, Proc. Amer. Math. Soc., 145 (2017), 3343–3356., 2017
Juhász I; van Mill J: On $\sigma$-countably tight spaces, Proc. Amer. Math. Soc., 146 (2018), 429–437., 2018
Juhász I and van Mill J: Variations on countable tightness, Acta Math. Hung., 153 (1) (2017), 75-82., 2017
Juhász I; Tkachuk V V; Wilson R G: Weakly linearly Lindelöf monotonically normal spaces are Lindelöf, Studia Sci. Math. Hung., 54 (4), (2017), 1–13., 2017
Juhász I; Soukup L; Szentmiklóssy Z: First countable and almost discretely Lindelöf T3 spaces have cardinality at most continuum, Topology and its Applications, to appear, 2017
Juhász I; Soukup L; Szentmiklóssy Z; van Mill J: Connected and/or homogeneos pd-examples, Top. Appl., submitted, 2018
Juhász I; Soukup L; Szentmiklóssy Z:: Coloring Cantor sets and resolvability of pseudocompact spaces, CMUC, to appear, 2018
Juhász I and van Mill J:: On maps preserving compactness and/or connectedness, CMUC, to appear, 2018
D. T. Soukup; L. Soukup, ,: Infinite combinatorics plain and simple, Journal of Symbolic Logic , submitted, 2018
P. Komjáth; I. Leader; P. A. Russell; S. Shelah; D. T. Soukup; Z. Vidnyánszky: Infinite monochromatic sumsets for colourings of the reals,, Proceedings of the AMS , submitted, 2018
P. Ellis; D. T. Soukup,: Cycle reversions and dichromatic number in tournaments,, European Journal of Combinatorics, submitted, 2018
D. T. Soukup,: Uncountable strongly surjective linear orders, Order, 2018
Juhász I; Soukup L; Szentmiklóssy Z:: Anti-Urysohn spaces, Topology and its Applications, to appear, 2016
Juhász I; Soukup L; Szentmiklóssy Z: Pinning Down versus Density, Israel J. Math., to appear, 2016
Elekes, M. and Steprans, J.: Set-theoretical problems concerning Hausdorff measures, Proc. Amer. Math. Soc., accepted, 2016
Elekes, M. and Vidnyánszky, Z.: Naively Haar null sets in Polish groups, J. Math. Anal. Appl., submitted, 2016
Farkas B, Khomskii Y, and Vidnyánszky Z:: Almost disjoint refinements and mixing reals, Fund. Math., submitted, 2016
Erdős P L; Kiss S; Miklós I; Soukup L: Approximate Counting of Graphical Realizations, PLOS ONE, PLOS ONE, 2015
Sági, G and Nyiri D:: On embeddings of finite metric spaces, In: Proceedings of the Informatics 2015 conference, Poprad, Szlovákia, 2015 Nov. 18-20, editors: Valerie Novitzká, Stefan Korecko, Anikó Szakál, Kosice, pp. 227-231, 2015
Sziráki D and Vaanenen J:: A dichotomy theorem for the generalized Baire space and elementary embeddability at uncountable cardinals, Fundamenta Mathematicae, submitted, 2016
Gyenis Z and Redei M: Why Bertrand's paradox is not paradoxical but is felt so?, Recent Developments in the Philosophy of Science: EPSA13 Helsinki, U. Maki, S. Ruphy, G. Schurz, I. Votsis, (eds.) Springer, to appear, 2016
Gyenis Z and Redei M: Defusing Bertrand's paradox, The British Journal for the Philosophy of Science 66(2), 349--373, 2015
Andréka H, Gyenis Z, Németi I: Ultraproducts of continuous posets, Algebra Universalis, submitted, 2016
Gyenis Z and Redei M: General properties of general Bayesian learning, Erkenntnis, submitted, 2016
Gyenis Z and Redei M: Measure theoretic analysis of consistency of the Principal Principle, Philosophy of Science, submitted, 2016
Hofer-Szabo G, Gyenis Z and Redei M: Conditioning using conditional expectations: The Borel-Kolmogorov Paradox, Synthese, submitted, 2016





 

Events of the project

 
2018-08-24 11:13:27
Résztvevők változása
2015-08-26 20:11:01
Résztvevők változása




Back »