메뉴 건너뛰기




Volumn 86, Issue 1, 1998, Pages 69-81

Constructing Tychonoff G-spaces which are not G-Tychonoff

Author keywords

uniform function; Ascoli arzela theorem; G normal; G tychonoff; N0 bounded group

Indexed keywords


EID: 0037617207     PISSN: 0016660X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (17)

References (21)
  • 1
    • 0038631558 scopus 로고
    • Universal objects and bicompact extensions for topological groups of transformations
    • S. Antonyan and Yu. Smirnov, Universal objects and bicompact extensions for topological groups of transformations, Transl. Soviet Math. Dokl. 23 (1981) 279-284.
    • (1981) Transl. Soviet Math. Dokl. , vol.23 , pp. 279-284
    • Antonyan, S.1    Smirnov, Yu.2
  • 3
    • 0142183103 scopus 로고
    • A construction of the greatest ambit
    • R.B. Brook, A construction of the greatest ambit, Math. Systems Theory 4 (1970) 243-248.
    • (1970) Math. Systems Theory , vol.4 , pp. 243-248
    • Brook, R.B.1
  • 4
    • 15944368524 scopus 로고
    • Extensions of dynamical systems via prolongations
    • D.H. Carlson, Extensions of dynamical systems via prolongations, Funkcial. Ekvac. 14 (1971) 35-16.
    • (1971) Funkcial. Ekvac. , vol.14 , pp. 35-116
    • Carlson, D.H.1
  • 6
    • 0001548974 scopus 로고
    • On topological groups close to being
    • I.I. Guran, On topological groups close to being Lindelöf, Soviet Math. Dokl. 23 (1981) 173-175.
    • (1981) Lindelöf, Soviet Math. Dokl. , vol.23 , pp. 173-175
    • Guran, I.I.1
  • 7
    • 15944364323 scopus 로고
    • A sufficient condition for the existence of a G-compactification
    • H. Ludescher and J. de Vries, A sufficient condition for the existence of a G-compactification, Nederl. Akad. Wetensch. Proc. Ser. A 83 (1980) 263-268.
    • (1980) Nederl. Akad. Wetensch. Proc. Ser. A , vol.83 , pp. 263-268
    • Ludescher, H.1    De Vries, J.2
  • 9
    • 84956100887 scopus 로고
    • A Tychonoff G-space which has no compact G-extensions or G-linearizations
    • M.G. Megrelishvili, A Tychonoff G-space which has no compact G-extensions or G-linearizations, Russ. Math. Surveys 43 (2) (1988) 177-178.
    • (1988) Russ. Math. Surveys , vol.43 , Issue.2 , pp. 177-178
    • Megrelishvili, M.G.1
  • 10
    • 0009228643 scopus 로고
    • Compactification and factorization in the category of G-spaces
    • J. Adámek and S. MacLane, eds., World Scientific, Singapore
    • M.G. Megrelishvili, Compactification and factorization in the category of G-spaces, in: J. Adámek and S. MacLane, eds., Categorical Topology and its Relation to Analysis, Algebra and Combinatorics (World Scientific, Singapore, 1989) 220-237.
    • (1989) Categorical Topology and Its Relation to Analysis, Algebra and Combinatorics , pp. 220-237
    • Megrelishvili, M.G.1
  • 12
    • 0003359075 scopus 로고
    • The classification of G-spaces
    • R. Palais, The classification of G-spaces, Mem. Amer. Math. Soc. 36 (1960) 25.
    • (1960) Mem. Amer. Math. Soc. , vol.36 , pp. 25
    • Palais, R.1
  • 13
    • 0346996484 scopus 로고
    • Some remarks on monothetic groups
    • St. Rolewicz, Some remarks on monothetic groups, Colloq. Math. 13 (1964) 28-29.
    • (1964) Colloq. Math. , vol.13 , pp. 28-29
    • Rolewicz, S.1
  • 14
    • 15944420811 scopus 로고
    • Constructing regular spaces that are not completely regular
    • I. Tree, Constructing regular spaces that are not completely regular, Houston J. Math. 21 (3) (1995) 613-622.
    • (1995) Houston J. Math. , vol.21 , Issue.3 , pp. 613-622
    • Tree, I.1
  • 15
    • 0002271114 scopus 로고
    • Topological groups and Dugundji compacta
    • V.V. Uspenskiǐ, Topological groups and Dugundji compacta, Math. USSR-Sb. 67 (2) (1990) 555-580.
    • (1990) Math. USSR-Sb. , vol.67 , Issue.2 , pp. 555-580
    • Uspenskiǐ, V.V.1
  • 16
    • 0040924634 scopus 로고
    • Topological Transformation Groups I
    • Mathematisch Centrum, Amsterdam
    • J. de Vries, Topological Transformation Groups I, Mathematical Centre Tracts 65 (Mathematisch Centrum, Amsterdam, 1975).
    • (1975) Mathematical Centre Tracts , vol.65
    • De Vries, J.1
  • 17
    • 15944368856 scopus 로고
    • Can every Tychonoff G-space equivariantly be embedded in a compact Hausdorff G-space?
    • J. de Vries, Can every Tychonoff G-space equivariantly be embedded in a compact Hausdorff G-space?, Math. Centrum, Amsterdam, Afd. Zuivere Wisk. 36 (1975).
    • (1975) Math. Centrum, Amsterdam, Afd. Zuivere Wisk. , vol.36
    • De Vries, J.1
  • 18
    • 15944365426 scopus 로고
    • A note on compactifications of G-spaces, Math. Centrum, Amsterdam
    • |18] J. de Vries, A note on compactifications of G-spaces, Math. Centrum, Amsterdam, Afd. Zuivere Wisk., ZW 61 (1976).
    • (1976) Afd. Zuivere Wisk., ZW , vol.61
    • De Vries, J.1
  • 20


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.