Voir la notice de l'article provenant de la source American Mathematical Society
@article{10_1090_jams_836,
author = {Marks, Andrew},
title = {A determinacy approach to {Borel} combinatorics},
journal = {Journal of the American Mathematical Society},
pages = {579--600},
publisher = {mathdoc},
volume = {29},
number = {2},
year = {2016},
doi = {10.1090/jams/836},
url = {http://geodesic.mathdoc.fr/articles/10.1090/jams/836/}
}
Marks, Andrew. A determinacy approach to Borel combinatorics. Journal of the American Mathematical Society, Tome 29 (2016) no. 2, pp. 579-600. doi: 10.1090/jams/836
[1] Weak isomorphisms between Bernoulli shifts Israel J. Math. 2011 93 102
[2] Every countably infinite group is almost Ornstein 2012 67 78
[3] , Measurable chromatic and independence numbers for ergodic graphs and group actions Groups Geom. Dyn. 2013 127 180
[4] , , Ultraproducts of measure preserving actions and graph combinatorics Ergodic Theory Dynam. Systems 2013 334 374
[5] , Measurable matchings in acyclic countable finite Borel graphs
[6] , An antibasis result for graphs of infinite Borel chromatic number Proc. Amer. Math. Soc. 2014 2123 2133
[7] Measure-theoretic unfriendly colorings Fund. Math. 2014 237 244
[8] , Invariant random matchings in Cayley graphs
[9] Graph theory 2005
[10] , , , , On uniform relationships between combinatorial problems
[11] , Borel oracles. An analytical approach to constant-time algorithms Proc. Amer. Math. Soc. 2010 2939 2947
[12] , On the independence and chromatic numbers of random regular graphs J. Combin. Theory Ser. B 1992 123 132
[13] , Countable abelian group actions and hyperfinite equivalence relations 2012
[14] , , Limits of local-global convergent graph sequences
[15] , , Countable Borel equivalence relations J. Math. Log. 2002 1 80
[16] , , Borel chromatic numbers Adv. Math. 1999 1 44
[17] Classical descriptive set theory 1995
[18] , Topics in orbit equivalence 2004
[19] Closed sets without measurable matching Proc. Amer. Math. Soc. 1988 894 896
[20] , Perfect matchings as IID factors on non-amenable groups European J. Combin. 2011 1115 1125
[21] Borel determinacy Ann. of Math. (2) 1975 363 371
[22] Arnie Millerâs problem list 1993 645 654
[23] The graph-theoretic approach to descriptive set theory Bull. Symbolic Logic 2012 554 575
[24] , Borel structurability on the 2-shift of a countable group
[25] Universal Borel actions of countable groups Groups Geom. Dyn. 2012 389 407
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