메뉴 건너뛰기




Volumn 61, Issue 3, 2010, Pages 337-352

The Poincaré and related groups are algebraically determined Polish groups

Author keywords

Group; Lorentz group; Poincar ; Polish group; Topological group

Indexed keywords


EID: 77953303280     PISSN: 00100757     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF03191237     Document Type: Article
Times cited : (9)

References (20)
  • 3
    • 0003337334 scopus 로고    scopus 로고
    • The Descriptive Set Theory of Polish Group Actions
    • Cambridge University Press, Cambridge
    • H. Becker and A.S. Kechris, The Descriptive Set Theory of Polish Group Actions, London Mathematical Society Lecture Note Series 232, Cambridge University Press, Cambridge, 1996.
    • (1996) London Mathematical Society Lecture Note Series , vol.232
    • Becker, H.1    Kechris, A.S.2
  • 4
    • 41449118485 scopus 로고    scopus 로고
    • Uniqueness of Polish group topology
    • P. Gartside and B. Peji, Uniqueness of Polish group topology, Topology Appl. 155 (2008), 992-999.
    • (2008) Topology Appl. , vol.155 , pp. 992-999
    • Gartside, P.1    Peji, B.2
  • 5
    • 0013468088 scopus 로고
    • Über innere Abbildungen
    • F. Hausdorff, Über innere Abbildungen, Fund. Math. 23 (1934), 279-291.
    • (1934) Fund. Math. , vol.23 , pp. 279-291
    • Hausdorff, F.1
  • 7
    • 49549153324 scopus 로고
    • The topology of compact simple Lie groups is essentially unique
    • R.R. Kallman, The topology of compact simple Lie groups is essentially unique, Advances in Math. 12 (1974), 416-417.
    • (1974) Advances in Math , vol.12 , pp. 416-417
    • Kallman, R.R.1
  • 8
    • 84966226082 scopus 로고
    • A uniqueness result for topological groups
    • R.R. Kallman, A uniqueness result for topological groups, Proc. Amer. Math. Soc. 54 (1976), 439-440.
    • (1976) Proc. Amer. Math. Soc. , vol.54 , pp. 439-440
    • Kallman, R.R.1
  • 9
    • 77953294784 scopus 로고
    • A uniqueness result for the infinite symmetric group
    • Adv. in Math. Suppl. Stud., Academic Press, New York-London
    • R.R. Kallman, A uniqueness result for the infinite symmetric group, Studies in Analysis, 321-322, Adv. in Math. Suppl. Stud. 4, Academic Press, New York-London, 1978.
    • (1978) Studies in Analysis , vol.4 , pp. 321-322
    • Kallman, R.R.1
  • 10
    • 77953318666 scopus 로고
    • A uniqueness result for a class of compact connected groups
    • Contemp. Math., Amer. Math. Soc., Providence, RI,
    • R.R. Kallman, A uniqueness result for a class of compact connected groups, Conference in modern analysis and probability (New Haven, Conn., 1982), 207-212, Contemp. Math. 26, Amer. Math. Soc., Providence, RI, 1984.
    • (1984) Conference in Modern Analysis and Probability (New Haven, Conn., 1982) , vol.26 , pp. 207-212
    • Kallman, R.R.1
  • 11
    • 77953303766 scopus 로고
    • Uniqueness results for the ax+b group and related algebraic objects
    • R.R. Kallman, Uniqueness results for the ax+b group and related algebraic objects, Fund. Math. 12 (1984), 255-262.
    • (1984) Fund. Math , vol.12 , pp. 255-262
    • Kallman, R.R.1
  • 12
    • 84968510889 scopus 로고
    • Uniqueness results for groups of measure preserving transformations
    • R.R. Kallman, Uniqueness results for groups of measure preserving transformations, Proc. Amer. Math. Soc. 20 (1985), 87-90.
    • (1985) Proc. Amer. Math. Soc. , vol.20 , pp. 87-90
    • Kallman, R.R.1
  • 13
    • 84968513572 scopus 로고
    • Uniqueness results for homeomorphism groups
    • R.R. Kallman, Uniqueness results for homeomorphism groups, Trans. Amer. Math. Soc. 295 (1986), 389-396.
    • (1986) Trans. Amer. Math. Soc. , vol.295 , pp. 389-396
    • Kallman, R.R.1
  • 14
    • 0003283083 scopus 로고
    • Classical descriptive set theory
    • Springer- Verlag, New York
    • A.S. Kechris, Classical descriptive set theory, Graduate Texts in Mathematics 156, Springer- Verlag, New York, 1995.
    • (1995) Graduate Texts in Mathematics , vol.156
    • Kechris, A.S.1
  • 15
    • 34347348205 scopus 로고    scopus 로고
    • Turbulence, amalgamation, and generic automorphisms of homogeneous structures
    • A.S. Kechris and Ch. Rosendahl, Turbulence, amalgamation, and generic automorphisms of homogeneous structures, Proc. Lond. Math. Soc. (3) 94 (2007), 300-350.
    • (2007) Proc. Lond. Math. Soc. (3) , vol.94 , pp. 300-350
    • Kechris, A.S.1    Rosendahl, C.2
  • 16
    • 84931205353 scopus 로고
    • Borel structure in groups and their duals
    • G.M. Mackey, Borel structure in groups and their duals, Trans. Amer. Math. Soc. 85 (1957), 134-165.
    • (1957) Trans. Amer. Math. Soc. , vol.85 , pp. 134-165
    • Mackey, G.M.1
  • 17
    • 84966214580 scopus 로고
    • On the measurability of orbits in Borel actions
    • D.E. Miller, On the measurability of orbits in Borel actions, Proc. Amer. Math. Soc. 63 (1977), 165-170.
    • (1977) Proc. Amer. Math. Soc. , vol.63 , pp. 165-170
    • Miller, D.E.1
  • 18
    • 58449109516 scopus 로고    scopus 로고
    • Automatic continuity in homeomorphism groups of compact 2-manifolds
    • Ch. Rosendal, Automatic continuity in homeomorphism groups of compact 2-manifolds, Israel J. Math. 166 (2008), 349-367.
    • (2008) Israel J. Math. , vol.166 , pp. 349-367
    • Rosendal, C.1
  • 19
    • 57749188442 scopus 로고    scopus 로고
    • Automatic continuity of homomorphisms and fixed points on metric compacta
    • Ch. Rosendal and S. Solecki, Automatic continuity of homomorphisms and fixed points on metric compacta, Israel J. Math. 162 (2007), 349-371.
    • (2007) Israel J. Math. , vol.162 , pp. 349-371
    • Rosendal, C.1    Solecki, S.2
  • 20
    • 0000805025 scopus 로고
    • Stetigkeitssätze für halbeinfache Liesche gruppen
    • B.L. van der Waerden, Stetigkeitssätze für halbeinfache Liesche gruppen, Math. Z. 36 (1933), 780-786.
    • (1933) Math. Z. , vol.36 , pp. 780-786
    • van der Waerden, B.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.