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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2009, Number 6, Pages 37–41 (Mi ivm1460)  

This article is cited in 1 scientific paper (total in 1 paper)

On continuation of a topology from a system of generators of a group to a topology on the group

V. V. Mukhina, E. E. Filipovab

a Chair of Applied Mathematics, Cherepovets State University, Cherepovets, Russia
b Chair of Computer Science and Mathematics, Vologda Institute of Law and Economics, Vologda, Russia
Full-text PDF (159 kB) Citations (1)
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Abstract: In this paper we establish conditions under which a topology is continued from a subset of a group to a topology on the group coordinated with the group operation.
Keywords: topological group, topological embedding, $n$-semigroup.
Received: 14.02.2007
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2009, Volume 53, Issue 6, Pages 29–32
DOI: https://doi.org/10.3103/S1066369X0906005X
Bibliographic databases:
UDC: 512.546.3
Language: Russian
Citation: V. V. Mukhin, E. E. Filipova, “On continuation of a topology from a system of generators of a group to a topology on the group”, Izv. Vyssh. Uchebn. Zaved. Mat., 2009, no. 6, 37–41; Russian Math. (Iz. VUZ), 53:6 (2009), 29–32
Citation in format AMSBIB
\Bibitem{MukFil09}
\by V.~V.~Mukhin, E.~E.~Filipova
\paper On continuation of a~topology from a~system of generators of a~group to a~topology on the group
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2009
\issue 6
\pages 37--41
\mathnet{http://mi.mathnet.ru/ivm1460}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2583997}
\zmath{https://zbmath.org/?q=an:05621427}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2009
\vol 53
\issue 6
\pages 29--32
\crossref{https://doi.org/10.3103/S1066369X0906005X}
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  • https://www.mathnet.ru/eng/ivm/y2009/i6/p37
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    Abstract page:288
    Full-text PDF :66
    References:31
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