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Volumn 69, Issue 3, 2000, Pages 316-335

On Banach-Mazur compacta

Author keywords

Approximate G ANE space; Banach Mazur compactum; Convex G space; Noncompact Lie group; Proper G space

Indexed keywords


EID: 0039622611     PISSN: 14467887     EISSN: None     Source Type: Journal    
DOI: 10.1017/s1446788700002494     Document Type: Article
Times cited : (8)

References (29)
  • 1
    • 0002754863 scopus 로고
    • Parallelizability of proper actions, global K-slices and maximal compact subgroups
    • H. Abels, 'Parallelizability of proper actions, global K-slices and maximal compact subgroups', Math. Ann. 212 (1974), 1-19.
    • (1974) Math. Ann. , vol.212 , pp. 1-19
    • Abels, H.1
  • 2
    • 0000554693 scopus 로고
    • Universal proper G-spaces
    • _, 'Universal proper G-spaces', Math. Z. 159 (1978), 143-158.
    • (1978) Math. Z. , vol.159 , pp. 143-158
  • 3
    • 0040315286 scopus 로고    scopus 로고
    • Theory of extensors for non-compact Lie groups
    • Math. Inst. UNAM Morelia, Mexico
    • S. M. Ageev, 'Theory of extensors for non-compact Lie groups', in: Abstr. II Congr. Iberoamer. Topol. Appl., (Math. Inst. UNAM Morelia, Mexico, 1997) p. 11.
    • (1997) Abstr. II Congr. Iberoamer. Topol. Appl. , pp. 11
    • Ageev, S.M.1
  • 4
    • 0000929474 scopus 로고    scopus 로고
    • On nonhomeomorphicity of the Banach-Mazur compactum to the Hilbert cube
    • S. M. Ageev and S. A. Bogatiǐ 'On nonhomeomorphicity of the Banach-Mazur compactum to the Hilbert cube', Uspehi Mat. Nauk 53 (1998), 209-210; English translation: Russian Math. Surveys 53 (1998), 205-207.
    • (1998) Uspehi Mat. Nauk , vol.53 , pp. 209-210
    • Ageev, S.M.1    Bogatiǐ, S.A.2
  • 5
    • 0040348634 scopus 로고    scopus 로고
    • English translation
    • S. M. Ageev and S. A. Bogatiǐ 'On nonhomeomorphicity of the Banach-Mazur compactum to the Hilbert cube', Uspehi Mat. Nauk 53 (1998), 209-210; English translation: Russian Math. Surveys 53 (1998), 205-207.
    • (1998) Russian Math. Surveys , vol.53 , pp. 205-207
  • 6
    • 0039131097 scopus 로고    scopus 로고
    • The Banach-Mazur compactum Q(n) is an AR
    • S. M. Ageev, S. A. Bogatiǐ and P. Fabel, 'The Banach-Mazur compactum Q(n) is an AR', Vestnik MGU Mat Meh. 1 (1998), 11-13; English translation: Moscow Univ. Math. Bull. 53 (1998), 10-12.
    • (1998) Vestnik MGU Mat Meh. , vol.1 , pp. 11-13
    • Ageev, S.M.1    Bogatiǐ, S.A.2    Fabel, P.3
  • 7
    • 0040315290 scopus 로고    scopus 로고
    • English translation
    • S. M. Ageev, S. A. Bogatiǐ and P. Fabel, 'The Banach-Mazur compactum Q(n) is an AR', Vestnik MGU Mat Meh. 1 (1998), 11-13; English translation: Moscow Univ. Math. Bull. 53 (1998), 10-12.
    • (1998) Moscow Univ. Math. Bull. , vol.53 , pp. 10-12
  • 8
  • 9
    • 0040944237 scopus 로고    scopus 로고
    • English translation
    • S. M. Ageev, S. A. Bogatiǐ, P. Fabel and D. Repovš, 'Extensors of noncompact Lie groups', Dolk. Ross. Akad. Nauk 362 (1998), 151-154; English translation: Dokl. Math. 58 (1998), 190-193.
    • (1998) Dokl. Math. , vol.58 , pp. 190-193
  • 11
    • 0039131096 scopus 로고
    • Retraction properties of an orbit space
    • S.A. Antonyan, 'Retraction properties of an orbit space', Mat. Sbor. 137 (1988), 300-318; English translation: Math. USSR Sbor. 65 (1990), 305-321.
    • (1988) Mat. Sbor. , vol.137 , pp. 300-318
    • Antonyan, S.A.1
  • 12
    • 0040909425 scopus 로고
    • English translation
    • S.A. Antonyan, 'Retraction properties of an orbit space', Mat. Sbor. 137 (1988), 300-318; English translation: Math. USSR Sbor. 65 (1990), 305-321.
    • (1990) Math. USSR Sbor. , vol.65 , pp. 305-321
  • 14
    • 84966216562 scopus 로고
    • Partitioning continuous curves
    • R. H. Bing, 'Partitioning continuous curves', Bull. Amer. Math. Soc. 58 (1952), 536-556.
    • (1952) Bull. Amer. Math. Soc. , vol.58 , pp. 536-556
    • Bing, R.H.1
  • 15
    • 0002076069 scopus 로고
    • Some theorems and examples on local aquiconnectedness and its specializations
    • D. W. Curtis, 'Some theorems and examples on local aquiconnectedness and its specializations', Fund. Math. 72 (1971), 101-113.
    • (1971) Fund. Math. , vol.72 , pp. 101-113
    • Curtis, D.W.1
  • 16
    • 84960606877 scopus 로고
    • Homotopy extension theorems
    • C. H. Dowker, 'Homotopy extension theorems', Proc. London Math. Soc. 6 (1956), 100-116.
    • (1956) Proc. London Math. Soc. , vol.6 , pp. 100-116
    • Dowker, C.H.1
  • 18
    • 0040315285 scopus 로고    scopus 로고
    • The Banach-Mazur compactum Q(2) is an AR
    • Warsaw
    • P. Fabel, 'The Banach-Mazur compactum Q(2) is an AR', in: Abstracts Borsuk-Kuratowski session (Warsaw 1996) p. 5.
    • (1996) Abstracts Borsuk-kuratowski Session , pp. 5
    • Fabel, P.1
  • 19
    • 84966232917 scopus 로고
    • Locally contractible spaces that are absolute neighbourhood retracts
    • W. E. Haver, 'Locally contractible spaces that are absolute neighbourhood retracts', Proc. Amer. Math. Soc. 40 (1973), 280-284.
    • (1973) Proc. Amer. Math. Soc. , vol.40 , pp. 280-284
    • Haver, W.E.1
  • 20
    • 0040315287 scopus 로고
    • Symmetry products of ANR's
    • J. Jaworowski, 'Symmetry products of ANR's', Math. Ann. 192 (1971), 173-176.
    • (1971) Math. Ann. , vol.192 , pp. 173-176
    • Jaworowski, J.1
  • 21
    • 0002940114 scopus 로고
    • Extremum problems with inequalities as subsidiary conditions
    • Interscience, New York
    • F. John, Extremum problems with inequalities as subsidiary conditions, Studies and Essays, Courant Anniversary Volume (Interscience, New York 1948) pp. 187-204.
    • (1948) Studies and Essays, Courant Anniversary Volume , pp. 187-204
    • John, F.1
  • 22
    • 0002859107 scopus 로고
    • Approximate polyhedra, resolutions of maps and shape fibrations
    • S. Mardešić, 'Approximate polyhedra, resolutions of maps and shape fibrations', Fund. Math. 114 (1981), 53-78.
    • (1981) Fund. Math. , vol.114 , pp. 53-78
    • Mardešić, S.1
  • 24
    • 84972552522 scopus 로고
    • On G-AN R's and their G-homotopy types
    • M. Murayama, 'On G-AN R's and their G-homotopy types', Osaka J. Math. 20 (1983), 479-512.
    • (1983) Osaka J. Math. , vol.20 , pp. 479-512
    • Murayama, M.1
  • 25
    • 0003359075 scopus 로고
    • The classification of G-spaces
    • R. S. Palais, 'The classification of G-spaces', Mem. Amer. Math. Soc. 36 (1960).
    • (1960) Mem. Amer. Math. Soc. , vol.36
    • Palais, R.S.1
  • 26
    • 0001441560 scopus 로고
    • On the existence of slices for actions of non-compact Lie groups
    • _, 'On the existence of slices for actions of non-compact Lie groups', Ann. of Math. (2) 73 (1961), 295-323.
    • (1961) Ann. of Math. , vol.73 , Issue.2 , pp. 295-323
  • 27
    • 0039131095 scopus 로고    scopus 로고
    • Geometric topology of Banach-Mazur compacta
    • (Kyoto, 1998) Surikaisekikenkyusho Kokyuroku
    • D. Repovš, 'Geometric topology of Banach-Mazur compacta', in: General and geometric topology (Japanese) (Kyoto, 1998) Surikaisekikenkyusho Kokyuroku 1074 (1999), 89-101.
    • (1999) General and Geometric Topology (Japanese) , vol.1074 , pp. 89-101
    • Repovš, D.1
  • 29
    • 0039721256 scopus 로고
    • Note on a theorem due to Borsuk
    • J. H. C. Whitehead, 'Note on a theorem due to Borsuk', Bull. Amer. Math. Soc. 54 (1948), 1125-1132.
    • (1948) Bull. Amer. Math. Soc. , vol.54 , pp. 1125-1132
    • Whitehead, J.H.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.