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Volumn 10, Issue 1, 2009, Pages 85-119

Arnautov's problems on semitopological isomorphisms

Author keywords

A complete topology; Heisenberg group; Markov group; Minimal group; Open mapping theorem; Permutations group; Semitopological isomorphism; Ta manov topology; Topologizable group

Indexed keywords


EID: 70350196987     PISSN: 15769402     EISSN: 19894147     Source Type: Journal    
DOI: 10.4995/agt.2009.1789     Document Type: Article
Times cited : (8)

References (30)
  • 1
    • 77950807718 scopus 로고
    • Semitopological isomorphisms of topological rings (Russian)
    • 4:2
    • V. I. Arnautov, Semitopological isomorphisms of topological rings (Russian), Mathematical Investigations (1969) 4:2 (12), 3-16.
    • (1969) Mathematical Investigations , Issue.12 , pp. 3-16
    • Arnautov, V.I.1
  • 2
    • 77950843060 scopus 로고    scopus 로고
    • Semitopological isomorphisms of topological groups
    • V. I. Arnautov, Semitopological isomorphisms of topological groups, Bul. Acad. Stiinte Repub. Mold. Mat. 2004 (2004), no. 1, 15-25.
    • (2004) Bul. Acad. Stiinte Repub. Mold. Mat. , vol.2004 , Issue.1 , pp. 15-25
    • Arnautov, V.I.1
  • 3
    • 0009994439 scopus 로고
    • Ueber metrische Gruppen
    • S. Banach, Ueber metrische Gruppen, Studia Math. 3 (1931), 101-113.
    • (1931) Studia Math. , vol.3 , pp. 101-113
    • Banach, S.1
  • 4
    • 0040463503 scopus 로고
    • Topologically complete groups
    • L. Brown, Topologically complete groups, Proc. Amer. Math. Soc. 35 (1972), 593-600.
    • (1972) Proc. Amer. Math. Soc. , vol.35 , pp. 593-600
    • Brown, L.1
  • 5
    • 0038586308 scopus 로고    scopus 로고
    • Recent advances in minimal topological groups
    • PII S0166864197001417
    • D. Dikranjan, Recent advances in minimal topological groups, Topology Appl. 85 (1998), no. 1-3, 53-91. (Pubitemid 128653809)
    • (1998) Topology and its Applications , vol.85 , Issue.1-3 , pp. 53-91
    • Dikranjan, D.1
  • 7
    • 85009721429 scopus 로고    scopus 로고
    • Relative minimality and co-minimality of subgroups in topological groups
    • to appear
    • D. Dikranjan and M. Megrelishvili, Relative minimality and co-minimality of subgroups in topological groups, Topology Appl., to appear.
    • Topology Appl.
    • Dikranjan, D.1    Megrelishvili, M.2
  • 9
    • 77950825980 scopus 로고    scopus 로고
    • Selected topics from the structure theory of topological groups
    • Elsevier
    • D. Dikranjan and D. Shakhmatov, Selected topics from the structure theory of topological groups, in: E. Perl, Open Problems in Topology 2, Elsevier (2007), 389-406.
    • (2007) E. Perl, Open Problems in Topology , vol.2 , pp. 389-406
    • Dikranjan, D.1    Shakhmatov, D.2
  • 10
    • 0032038449 scopus 로고    scopus 로고
    • Categorically compact topological groups
    • PII S0022404996001399
    • D. Dikranjan and V. Uspenskij, Categorically compact topological groups, J. Pure Appl. Algebra 126 (1998), no. 1-3, 149-168. (Pubitemid 128176946)
    • (1998) Journal of Pure and Applied Algebra , vol.126 , Issue.1-3 , pp. 149-168
    • Dikranjan, D.N.1    Uspenskij, V.V.2
  • 11
    • 52049096251 scopus 로고
    • Produits de groupes topologiques minimaux
    • D. Dötchinov, Produits de groupes topologiques minimaux, Bull. Sci. Math. 97 (1972), no. 2, 59-64.
    • (1972) Bull. Sci. Math. , vol.97 , Issue.2 , pp. 59-64
    • Dötchinov, D.1
  • 13
    • 0003939143 scopus 로고
    • Academic Press New York and London
    • L. Fuchs, Infinite abelian groups, vol. I, Academic Press New York and London, 1973.
    • (1973) Infinite Abelian Groups , vol.1
    • Fuchs, L.1
  • 14
    • 77950834492 scopus 로고    scopus 로고
    • Semitopological homomorphisms
    • A. Giordano Bruno, Semitopological homomorphisms, Rend. Semin. Mat. Univ. Padova 120 (2008), 79-126.
    • (2008) Rend. Semin. Mat. Univ. Padova , vol.120 , pp. 79-126
    • Bruno, A.G.1
  • 15
    • 84972539477 scopus 로고
    • Topological groups which satisfy an open mapping theorem
    • D. L. Grant, Topological groups which satisfy an open mapping theorem, Pacific J. Math. 68 (1977), 411-423.
    • (1977) Pacific J. Math. , vol.68 , pp. 411-423
    • Grant, D.L.1
  • 17
    • 84979325283 scopus 로고
    • Beitrage sur topologischen albegra
    • H. Kowalski, Beitrage sur topologischen albegra, Math. Naschr. 11 (1954), 143-185.
    • (1954) Math. Naschr. , vol.11 , pp. 143-185
    • Kowalski, H.1
  • 19
    • 27844449299 scopus 로고    scopus 로고
    • Generalized Heisenberg groups and Shtern's question
    • M. Megrelishvili, Generalized Heisenberg groups and Shtern's question, Georgian Math. J. 11 (2004), no. 4, 775-782.
    • (2004) Georgian Math. J. , vol.11 , Issue.4 , pp. 775-782
    • Megrelishvili, M.1
  • 20
    • 0004241048 scopus 로고
    • Springer-Verlag New York, Inc., New York
    • H. Neumann, Varieties of groups, Springer-Verlag New York, Inc., New York, 1967, x+192 pp.
    • (1967) Varieties of Groups
    • Neumann, H.1
  • 22
    • 0002707194 scopus 로고
    • Completeness and the open mapping theorem
    • V. Pták, Completeness and the open mapping theorem, Bull. Soc. Math. France 86 (1958), 41-74.
    • (1958) Bull. Soc. Math. France , vol.86 , pp. 41-74
    • Pták, V.1
  • 24
    • 77950820715 scopus 로고
    • On a problem of Kurosh, Jonsson groups and applications, Word problems, II
    • Conf. on Decision Problems in Algebra, Oxford, Stud. Logic Foundations Math., 95, North-Holland, Amsterdam-New York (1980).
    • S. Shelah, On a problem of Kurosh, Jonsson groups and applications, Word problems, II (Conf. on Decision Problems in Algebra, Oxford, 1976), pp. 373û-394, Stud. Logic Foundations Math., 95, North-Holland, Amsterdam-New York (1980).
    • (1976) Stud. Logic Foundations Math.
    • Shelah, S.1
  • 26
    • 0009988843 scopus 로고
    • Minimal topological groups
    • R. M. Stephenson, Jr., Minimal topological groups, Math. Ann. 192 (1971), 193-195.
    • (1971) Math. Ann. , vol.192 , pp. 193-195
    • Stephenson Jr., R.M.1
  • 27
    • 84971137996 scopus 로고
    • A note on B- and Br-complete topological Abelian groups
    • L. Sulley, A note on B- and Br-complete topological Abelian groups, Proc. Cambr. Phil. Soc. 66 (1969), 275-279.
    • (1969) Proc. Cambr. Phil. Soc. , vol.66 , pp. 275-279
    • Sulley, L.1
  • 28
    • 34250276346 scopus 로고
    • Topologizable groups. II
    • (Russian) 1216. (English translation: Siberian Math. J. 19 no. 5 (1978), 848-850 (1979)
    • A. D. Tǎmanov, Topologizable groups. II. (Russian) Sibirsk. Mat. Zh. 19 (1978), no. 5, 1201û-1203, 1216. (English translation: Siberian Math. J. 19 no. 5 (1978), 848-850 (1979).)
    • (1978) Sibirsk. Mat. Zh. , vol.19 , Issue.5 , pp. 1201-1203
    • Tǎmanov, A.D.1
  • 29
    • 0040463493 scopus 로고
    • Completeness of topological groups (Russian)
    • M. G. Tkachenko, Completeness of topological groups (Russian), Sibirsk. Mat. Zh. 25 (1984), no. 1, 146-158.
    • (1984) Sibirsk. Mat. Zh. , vol.25 , Issue.1 , pp. 146-158
    • Tkachenko, M.G.1
  • 30
    • 33749065584 scopus 로고
    • Some properties of free topological groups (Russian)
    • 139.
    • M. G. Tkachenko, Some properties of free topological groups (Russian), Mat. Zametki 37 (1985), no. 1, 110-118, 139.
    • (1985) Mat. Zametki , vol.37 , Issue.1 , pp. 110-118
    • Tkachenko, M.G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.