Ramsey classes of topological and metric spaces
Tóm tắt
Từ khóa
Tài liệu tham khảo
Bálek, 2005, Verso un estetica matematica, 35
Cameron, 1998, The random graph, 331
J.D. Clemens, Descriptive set theory, equivalence relations, and classification problems in analysis, Ph.D. Thesis, University of California, Berkeley, 2001
Clemens, 2001, Polish metric spaces: their classification and isometry groups, Bull. Symb. Logic, 7, 361, 10.2307/2687754
Cherlin, 1998, The classification of countable homogeneous directed graphs and countable homogeneous n-tournaments, Mem. Amer. Math. Soc., 131
Fraïssé, 1986
E. Glasner, B. Weiss, The universal minimal system for the group of homeomorphisms of the Cantor set (preprint)
T. Gowers, Hypergraph regularity and the multidimensional Szemerédi theorem (preprint)
B. Green, T. Tao, The primes contain arbitrary long arithmetic progressions (preprint)
Graham, 1980
G. Hjorth, An oscillation theorem for groups of isometries (this volume)
Hubička, 2005, Finite presentation of homogeneous graphs, posets and Ramsey classes, Israel J. Math., 149, 21, 10.1007/BF02772535
Katětov, 1988, On universal metric spaces, 323
Kechris, 2005, Fraïssé limits, Ramsey theory, and topological dynamics of automorphism groups, Geom. Funct. Anal., 15, 106, 10.1007/s00039-005-0503-1
Khalimsky, 1987, Topological structures in computer science, J. Appl. Math. Simul., 1, 25, 10.1155/S1048953388000036
Kleitman, 1970, On number of finite topologies, Proc. Amer. Math. Soc., 25, 276, 10.1090/S0002-9939-1970-0253944-9
Lachlan, 1984, Countable homogeneous tournaments, Trans. Amer. Math. Soc., 284, 431, 10.1090/S0002-9947-1984-0743728-1
Lachlan, 1987, Homogeneous structures, 314
Lachlan, 1984, On countable stable structures which are homogeneous for finite relational language, Israel J. Math., 69, 10.1007/BF02760647
Lachlan, 1980, Countable ultrahomogeneous undirected graphs, Trans. Amer. Math. Soc., 262, 51, 10.1090/S0002-9947-1980-0583847-2
Larose, 2004, A discrete homotopy theory for binary reflexive structures, Adv. Math., 189, 268, 10.1016/j.aim.2003.11.011
K. Leeb, Vorlesungen über Pascaltheorie, Universität Erlangen, 1973
Nešetřil, 1989, For graphs there are only four types of hereditary Ramsey classes, J. Combin. Theory Ser. B, 46, 127, 10.1016/0095-8956(89)90038-5
Nešetřil, 2004, Ramsey classes and homogeneous structures, Combin. Probab. Comput., 14, 1
Nešetřil, 1995, Ramsey theory, 1331
J. Nešetřil, Ramsey metric spaces, in: KAM-DIMATIA Series 2004-677, European J. Combin. (in press)
Nešetřil, 1975, Type theory of partition properties of graphs, 405
Nešetřil, 1978, Partitions of finite relational and set systems, J. Combin. Theory Ser. A, 22, 289, 10.1016/0097-3165(77)90004-8
Nešetřil, 1979, Partition theory and its applications, 96
Nešetřil, 1984, Combinatorial partitions of finite posets and lattices — Ramsey lattices, Algebra Universalis, 19, 106, 10.1007/BF01191498
Nešetřil, 1990
Nešetřil, 1977, Ramsey topological spaces, 333
Ramsey, 1930, On a problem of formal logic, Proc. London Math. Soc. II, Ser., 30, 264, 10.1112/plms/s2-30.1.264
Rödl, 2004, Regularity Lemma for k-uniform hypergraphs, Random Structures Algorithms, 25, 1, 10.1002/rsa.20017
Schmerl, 1979, Countable homogeneous partially ordered sets, Algebra Universalis, 9, 317, 10.1007/BF02488043
Stong, 1966, Finite topological spaces, Trans. Amer. Math. Soc., 123, 325, 10.1090/S0002-9947-1966-0195042-2
Urysohn, 1927, Sur un espace métrique universel, Bull. Sci. Math., 51, 43
Vershik, 1998, The universal Urysohn space, Gromov metric triples and random metrics on the natural numbers, Russian Math. Surveys, 53, 921, 10.1070/RM1998v053n05ABEH000069
Weiss, 1990, Partitioning topological spaces, 154
W. Weiss, S. Todorcevic, Partitioning metric spaces, manuscript