메뉴 건너뛰기




Volumn 138, Issue 10, 2010, Pages 3707-3716

Proper actions on topological groups: Applications to quotient spaces

Author keywords

[No Author keywords available]

Indexed keywords


EID: 77955619038     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9939-2010-10504-X     Document Type: Article
Times cited : (11)

References (25)
  • 1
    • 0002754863 scopus 로고
    • Parallelizability of proper actions, global K-slices and maximal compact subgroups
    • MR0375264 (51:11460)
    • H. Abels, Parallelizability of proper actions, global K-slices and maximal compact subgroups, Math. Ann. 212 (1974), 1-19. MR0375264 (51:11460)
    • (1974) Math. Ann. , vol.212 , pp. 1-19
    • Abels, H.1
  • 2
    • 0000554693 scopus 로고
    • A universal proper G-space
    • MR0501039 (58:18504)
    • H. Abels, A universal proper G-space, Math. Z. 159 (1978), 143-158. MR0501039 (58:18504)
    • (1978) Math. Z. , vol.159 , pp. 143-158
    • Abels, H.1
  • 3
    • 0012938533 scopus 로고
    • Equivariant embeddings into G-AR's
    • MR957632 (89k:54041)
    • S. A. Antonian, Equivariant embeddings into G-AR's, Glasnik Matematički 22 (42) (1987), 503-533. MR957632 (89k:54041)
    • (1987) Glasnik Matematički , vol.22 , Issue.42 , pp. 503-533
    • Antonian, S.A.1
  • 4
    • 0040522265 scopus 로고
    • Existence of a slice for arbitrary compact transformation groups
    • S. A. Antonyan, Existence of a slice for arbitrary compact transformation groups, Matematicheskie Zametki 56:5 (1994), 3-9
    • (1994) Matematicheskie Zametki , vol.56 , Issue.5 , pp. 3-9
    • Antonyan, S.A.1
  • 5
    • 67349132595 scopus 로고
    • MR1330386 (96f:57034)
    • English transl. in: Math. Notes 56 (5-6) (1994), 101-1104. MR1330386 (96f:57034)
    • (1994) Math. Notes , vol.56 , Issue.5-6 , pp. 101-1104
  • 6
    • 0012979178 scopus 로고    scopus 로고
    • The Banach-Mazur compacta are absolute retracts
    • MR1631246 (99d:54020)
    • S. A. Antonyan, The Banach-Mazur compacta are absolute retracts, Bull. Acad. Polon. Sci. Ser. Math. 46, no.2 (1998), 113-119. MR1631246 (99d:54020)
    • (1998) Bull. Acad. Polon. Sci. Ser. Math. , vol.46 , Issue.2 , pp. 113-119
    • Antonyan, S.A.1
  • 7
    • 0012939770 scopus 로고    scopus 로고
    • Extensorial properties of orbit spaces of proper group actions
    • MR1719992
    • S. A. Antonyan, Extensorial properties of orbit spaces of proper group actions, Topology Appl. 98 (1999), 35-46. MR1719992
    • (1999) Topology Appl. , vol.98 , pp. 35-46
    • Antonyan, S.A.1
  • 8
    • 10144220644 scopus 로고    scopus 로고
    • Orbit spaces and unions of equivariant absolute neighborhood extensors
    • MR2107153 (2005i:54022)
    • S. A. Antonyan, Orbit spaces and unions of equivariant absolute neighborhood extensors, Topology Appl. 146-147 (2005), 289-315. MR2107153 (2005i:54022)
    • (2005) Topology Appl. , vol.146-147 , pp. 289-315
    • Antonyan, S.A.1
  • 9
    • 0037261875 scopus 로고    scopus 로고
    • Invariant pseudometrics on Palais proper G-spaces
    • MR1958466 (2003m:22025)
    • S. A. Antonyan and S. de Neymet, Invariant pseudometrics on Palais proper G-spaces, Acta Math. Hung. 98 (1-2) (2003), 41-51. MR1958466 (2003m:22025)
    • (2003) Acta Math. Hung. , vol.98 , Issue.1-2 , pp. 41-51
    • Antonyan, S.A.1    De Neymet, S.2
  • 10
    • 84956132024 scopus 로고
    • Classes of topological groups
    • MR622722 (83d:54082)
    • A. V. Arhangel'skii, Classes of topological groups, Russian Math. Surveys 36, no.3 (1981), 151-174. MR622722 (83d:54082)
    • (1981) Russian Math. Surveys , vol.36 , Issue.3 , pp. 151-174
    • Arhangel'skii, A.V.1
  • 11
    • 17244379020 scopus 로고    scopus 로고
    • Quotients with respect to locally compact subgroups
    • MR2123011 (2006a:54028)
    • A. V. Arhangel'skii, Quotients with respect to locally compact subgroups, Houston J. Math. 31, no.1 (2005), 215-226. MR2123011 (2006a:54028)
    • (2005) Houston J. Math. , vol.31 , Issue.1 , pp. 215-226
    • Arhangel'skii, A.V.1
  • 12
    • 77955596363 scopus 로고    scopus 로고
    • Topological groups: Local versus global
    • MR2284936 (2007k:54042)
    • A. V. Arhangel'skii and V. V Uspenskij, Topological groups: local versus global, Applied General Topology 7, no.1 (2006), 67-72. MR2284936 (2007k:54042)
    • (2006) Applied General Topology , vol.7 , Issue.1 , pp. 67-72
    • Arhangel'skii, A.V.1    Uspenskij, V.V.2
  • 15
    • 84972495816 scopus 로고
    • On stratifiable spaces
    • MR0188982 (32:6409)
    • C. J. R. Borges, On stratifiable spaces, Pacific J. Math. 17, no.1 (1966), 1-16. MR0188982 (32:6409)
    • (1966) Pacific J. Math. , vol.17 , Issue.1 , pp. 1-16
    • Borges, C.J.R.1
  • 17
    • 0003798198 scopus 로고
    • PWN-Pol. Sci. Publ., Warsaw. MR0500780 (58:18316b)
    • R. Engelking, General Topology, PWN-Pol. Sci. Publ., Warsaw, 1977. MR0500780 (58:18316b)
    • (1977) General Topology
    • Engelking, R.1
  • 18
    • 34250267434 scopus 로고
    • Dimensionality of spaces with the action of a bicompact group
    • MR534089 (80f:54031)
    • V. V. Filippov, Dimensionality of spaces with the action of a bicompact group, Math. Notes, 25, no.3 (1979), 171-174. MR534089 (80f:54031)
    • (1979) Math. Notes , vol.25 , Issue.3 , pp. 171-174
    • Filippov, V.V.1
  • 19
    • 0002125119 scopus 로고
    • Parallelizability revisited
    • MR0271925 (42:6806)
    • O. Hájek, Parallelizability revisited, Proc. Amer. Math. Soc., 27, no.1 (1971), 77-84. MR0271925 (42:6806)
    • (1971) Proc. Amer. Math. Soc. , vol.27 , Issue.1 , pp. 77-84
    • Hájek, O.1
  • 20
    • 0004215075 scopus 로고
    • Holden-Day Inc., San Francisco. MR0207883 (34:7696)
    • G. Hochschild, The structure of Lie groups, Holden-Day Inc., San Francisco, 1965. MR0207883 (34:7696)
    • (1965) The Structure of Lie Groups
    • Hochschild, G.1
  • 21
    • 0012935304 scopus 로고
    • Tata Institute of Fundamental Research, Bombay. MR0218485 (36:1571)
    • J. L. Koszul, Lectures on groups of transformations, Tata Institute of Fundamental Research, Bombay, 1965. MR0218485 (36:1571)
    • (1965) Lectures on Groups of Transformations
    • Koszul, J.L.1
  • 22
    • 0010204141 scopus 로고
    • On the dimension of product spaces
    • MR0054240 (14:893c)
    • K. Morita, On the dimension of product spaces, American Journal of Mathematics, 75, no.2 (1953), pp. 205-223. MR0054240 (14:893c)
    • (1953) American Journal of Mathematics , vol.75 , Issue.2 , pp. 205-223
    • Morita, K.1
  • 23
    • 0003359075 scopus 로고
    • The classification of G-spaces
    • MR0177401 (31:1664)
    • R. Palais, The classification of G-spaces, Memoirs of the AMS, 36 (1960). MR0177401 (31:1664)
    • (1960) Memoirs of the AMS , vol.36
    • Palais, R.1
  • 24
    • 0001441560 scopus 로고
    • On the existence of slices for actions of non-compact Lie groups
    • MR0126506 (23:A3802)
    • R. Palais, On the existence of slices for actions of non-compact Lie groups, Ann. of Math. (2) 73 (1961), 295-323. MR0126506 (23:A3802)
    • (1961) Ann. of Math. (2) , vol.73 , pp. 295-323
    • Palais, R.1
  • 25
    • 0012630389 scopus 로고
    • On the topological structure of locally bicompact groups and their quotient spaces
    • MR0147575 (26:5090)
    • E. G. Skljarenko, On the topological structure of locally bicompact groups and their quotient spaces, Amer. Math. Soc. Transl., Ser. 2, 39 (1964), 57-82. MR0147575 (26:5090)
    • (1964) Amer. Math. Soc. Transl., Ser. 2 , vol.39 , pp. 57-82
    • Skljarenko, E.G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.