Globalization of confluent partial actions on topological and metric spaces

Topology and its Applications

Volumn 145, Issue 1-3, 2004, Pages 119-145

  Megrelishvili, Michael ^a   Schröder, Lutz ^b  

^a BAR ILAN UNIVERSITY   (Israel)

^b UNIVERSITY OF BREMEN   (Germany)

Author keywords

Globalization; Partial action; Rewriting; Ultrahomogeneous space

Indexed keywords

EID: 7544239854     PISSN: 01668641     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.topol.2004.06.006     Document Type: Article

References (32)

1. F. Abadie Enveloping actions and Takai duality for partial actions J. Functional Anal. 197 2003 14-67
2. J. Adámek H. Herrlich G.E. Strecker Abstract and Concrete Categories second ed. 1990 Wiley-Interscience New York
3. F. Baader T. Nipkow Term Rewriting and All That 1998 Cambridge University Press Cambridge
4. V.K. Belnov Dimension of homogeneous spaces and free homogeneous spaces Soviet Math. Dokl. 19 1978 86-89, translation from Dokl. Akad. Nauk SSSR 238 1979 781-784
5. S.A. Bogatyi Metrically homogeneous spaces Russ. Math. Surveys 57 2002 221-240
6. R. Börger, Congruence relations on categories, Master's Thesis, University of Münster, 1977 (in German)
7. P. Cameron Homogeneous Cayley objects European J. Combin. 21 2000 745-760
8. K. Choi Y. Lim Inverse monoids of Möbius type J. Algebra 223 2000 283-294
9. L.D. Clemens S. Gao A.S. Kechris Polish metric spaces: Their classification and isometry groups Bull. Symbolic Logic 7 2001 361-375
10. C.H. Dowker Local dimension of normal spaces Quart. J. Math. Oxford II. Ser. 6 1955 101-120
11. R. Exel Partial actions of groups and actions of inverse semigroups Proc. Amer. Math. Soc. 126 1998 3481-3494
12. M. Gromov Metric Structures for Riemannian and Non-Riemannian Spaces 1999 Birkhäuser Basel
13. H. Herrlich A concept of nearness Gen. Topology Appl. 4 1974 191-212
14. A.S. Kechris V.G. Pestov S. Todorcevic Fraisse limits, Ramsey theory, and topological dynamics of automorphism groups Geom. Funct. Anal., 73 pages, submitted for publication; available under http://arxiv.org/abs/math.LO/0305241
15. J. Kellendonk M.V. Lawson Partial actions of groups Internat. J. Algebra Comput. 14 2004 87-114
16. J.W. Klop Term rewriting systems In: S. Abramsky D.M. Gabbay T.S.E. Maibaum (Eds.) Handbook of Logic in Computer Science, vol. 2 1992 Oxford University Press Oxford 1-117
17. R. Lowen Approach Spaces: The Missing Link in the Topology-Uniformity-Metric Triad Oxford Mathematical Monographs 1997 Clarendon Press
18. S. Mac Lane Categories for the Working Mathematician second ed. 1998 Springer Berlin
19. M. Megrelishvili, Uniformity and topological transformation groups, Ph.D. Thesis, Tbilisi State University, 1985
20. M. Megrelishvili Embedding of topological spaces in spaces with strong properties of homogeneity Bull. Acad. Sci. GSSR 121 1986 257-260
21. M. Megrelishvili Groupoid preactions by partial homeomorphisms and homogenizations In: H. Herrlich H.E. Porst (Eds.) Categorical Methods in Algebra and Topology in: Mathematik-Arbeitspapiere vol. 54 2000 Bremen University 279-292
22. N.G. Okromeshko V.G. Pestov A construction of Mishchenko in the theory of homogeneous spaces Moscow Univ. Math. Bull. 39 3 1984 33-37
23. V. Pestov Topological groups: Where to from here? Topology Proc. 24 1999 421-502
24. V. Pestov mm-spaces and group actions Enseign. Math. 48 3-4 2002 209/201-236
25. L. Schröder H. Herrlich Free adjunction of morphisms Appl. Cat. Struct. 8 2000 595-606
26. L. Schröder H. Herrlich Free factorizations Appl. Cat. Struct. 9 2001 571-593
27. M. Shimrat Embedding in homogeneous spaces Quart. J. Math. Oxford II. Ser. 5 1954 304-311
28. P. Urysohn Sur un espace métrique universel Bull. Sci. Math. 51 1927 43-64
29. V.V. Uspenskij On subgroups of minimal topological groups preprint, Ohio University http://xxx.lanl.gov/abs/math.GN/0004119 1998
30. V.V. Uspenskij On the group of isometries of the Urysohn universal metric space Comment. Math. Univ. Carolin. 31 1990 181-182
31. A.M. Vershik The universal Urysohn space, Gromov's metric triples, and random metrics on the series of natural numbers Uspekhi Mat. Nauk 53 5(323) 1998 57-64, translation in Russian Math. Survey 53 5 1998 921-928
32. A.D. Wallace Dimensional types Bull. Amer. Math. Soc. 51 1945 679-681