메뉴 건너뛰기




Volumn 154, Issue 2, 2007, Pages 384-403

On the geometry of Urysohn's universal metric space

Author keywords

Definable equivalence relation; Isometry; Polish group; Urysohn universal space

Indexed keywords


EID: 33751216476     PISSN: 01668641     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.topol.2006.05.005     Document Type: Article
Times cited : (38)

References (16)
  • 1
    • 0003337334 scopus 로고    scopus 로고
    • The Descriptive Set Theory of Polish Group Actions
    • Cambridge University Press, Cambridge
    • Becker H., and Kechris A.S. The Descriptive Set Theory of Polish Group Actions. London Math. Soc. Lecture Notes Series vol. 232 (1996), Cambridge University Press, Cambridge
    • (1996) London Math. Soc. Lecture Notes Series , vol.232
    • Becker, H.1    Kechris, A.S.2
  • 2
    • 33751229749 scopus 로고    scopus 로고
    • P.J. Cameron, A.M. Vershik, Some isometry groups of Urysohn space, Preprint, 2004
  • 3
    • 85086811002 scopus 로고    scopus 로고
    • On the Classification of Polish Metric Spaces up to Isometry
    • Amer. Math. Soc., Providence, RI
    • Gao S., and Kechris A.S. On the Classification of Polish Metric Spaces up to Isometry. Mem. Amer. Math. Soc. vol. 766 (2003), Amer. Math. Soc., Providence, RI
    • (2003) Mem. Amer. Math. Soc. , vol.766
    • Gao, S.1    Kechris, A.S.2
  • 5
    • 34248395807 scopus 로고
    • On a property of Urysohn's universal metric space
    • (in Russian)
    • Huhunaišvili G.E. On a property of Urysohn's universal metric space. Dokl. Akad. Nauk USSR (N.S.) 101 (1955) 332-333 (in Russian)
    • (1955) Dokl. Akad. Nauk USSR (N.S.) , vol.101 , pp. 332-333
    • Huhunaišvili, G.E.1
  • 6
    • 33751230606 scopus 로고    scopus 로고
    • N. Kalton, Extending Lipschitz maps in C (K) spaces, Preprint, 2005
  • 9
    • 0012952946 scopus 로고    scopus 로고
    • Actions of Polish groups and classification problems
    • Analysis and Logic, Cambridge University Press, Cambridge
    • S Kechris A. Actions of Polish groups and classification problems. Analysis and Logic. London Math. Soc. Lecture Notes Series (2000), Cambridge University Press, Cambridge
    • (2000) London Math. Soc. Lecture Notes Series
    • S Kechris, A.1
  • 10
  • 11
    • 33751252095 scopus 로고    scopus 로고
    • V. Pestov, Dynamics of Infinite-Dimensional Groups and Ramsey-Type Phenomena, Publicações dos Colóquios de Matemática, IMPA, Rio de Janeiro, 2005, in press
  • 12
    • 0003079628 scopus 로고
    • Sur un espace métrique universel
    • and 74-96
    • Urysohn P.S. Sur un espace métrique universel. Bull. Sci. Math 51 (1927) 43-64 and 74-96
    • (1927) Bull. Sci. Math , vol.51 , pp. 43-64
    • Urysohn, P.S.1
  • 13
    • 0001504899 scopus 로고
    • On the group of isometries of the Urysohn universal metric space
    • Uspenskij V.V. On the group of isometries of the Urysohn universal metric space. Comment. Math. Univ. Carolin. 31 1 (1990) 181-182
    • (1990) Comment. Math. Univ. Carolin. , vol.31 , Issue.1 , pp. 181-182
    • Uspenskij, V.V.1
  • 14
    • 33751206046 scopus 로고    scopus 로고
    • V.V. Uspenskij, Compactifications of topological groups, in: Proc. of the 9th Prague Topological Symposium, 2001, pp. 331-346
  • 15
    • 1842606485 scopus 로고    scopus 로고
    • The Urysohn universal metric space is homeomorphic to a Hilbert space
    • Uspenskij V.V. The Urysohn universal metric space is homeomorphic to a Hilbert space. Topology Appl. 139 1-3 (2004) 145-149
    • (2004) Topology Appl. , vol.139 , Issue.1-3 , pp. 145-149
    • Uspenskij, V.V.1
  • 16
    • 0012964395 scopus 로고    scopus 로고
    • The universal Urysohn space, Gromov metric triples and random metrics on the natural numbers
    • Vershik A.M. The universal Urysohn space, Gromov metric triples and random metrics on the natural numbers. Russ. Math. Surveys 53 5 (1998) 921-928
    • (1998) Russ. Math. Surveys , vol.53 , Issue.5 , pp. 921-928
    • Vershik, A.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.