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Matematicheskie Zametki, 1973, Volume 13, Issue 3, Pages 437–442 (Mi mzm7141)  
Certain discreteness conditions imposed on topological groups

V. M. Poletskikh

Kiev State University
Full-text PDF (526 kB)
Abstract: The paper studies locally compact groups in which any closed subset generates, in the algebraic sense, a subgroup which is closed. It is proven that all such groups are discrete.
Received: 24.12.1971
English version:
Mathematical Notes, 1973, Volume 13, Issue 3, Pages 263–265
DOI: https://doi.org/10.1007/BF01155669
Bibliographic databases:
UDC: 519.4
Language: Russian
Citation: V. M. Poletskikh, “Certain discreteness conditions imposed on topological groups”, Mat. Zametki, 13:3 (1973), 437–442; Math. Notes, 13:3 (1973), 263–265
Citation in format AMSBIB
\Bibitem{Pol73}
\by V.~M.~Poletskikh
\paper Certain discreteness conditions imposed on topological groups
\jour Mat. Zametki
\yr 1973
\vol 13
\issue 3
\pages 437--442
\mathnet{http://mi.mathnet.ru/mzm7141}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=316628}
\zmath{https://zbmath.org/?q=an:0266.22008|0251.22004}
\transl
\jour Math. Notes
\yr 1973
\vol 13
\issue 3
\pages 263--265
\crossref{https://doi.org/10.1007/BF01155669}
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