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Fundam. Prikl. Mat., 2003, Volume 9, Issue 2, Pages 99–204 (Mi fpm727)  

This article is cited in 2 scientific papers (total in 2 papers)

The topology of free topological groups

O. V. Sipacheva

M. V. Lomonosov Moscow State University

Abstract: The known explicit descriptions of the topology of free and free Abelian topological groups are collected. Examples of the application of such descriptions by various authors to study the properties of topological groups and some related topological-algebraic objects are given. Various approaches to describing the topology of free topological groups are presented and a general method for topologizing free groups is suggested. The fundamental properties of free topological groups and their structure are considered. The most important results on free topological groups obtained by various authors through the years are mentioned.

Full text (in Russian): PDF file (906 kB)
References (in Russian): PDF file   HTML файл

English version:
Journal of Mathematical Sciences (New York), 2005, 131:4, 5765–5838

Bibliographic databases:

UDC: 512.546+515.12

Citation: O. V. Sipacheva, “The topology of free topological groups”, Fundam. Prikl. Mat., 9:2 (2003), 99–204

Citation in format AMSBIB
\Bibitem{Sip03}
\by O.~V.~Sipacheva
\paper The topology of free topological groups
\jour Fundam. Prikl. Mat.
\yr 2003
\vol 9
\issue 2
\pages 99--204
\mathnet{http://mi.mathnet.ru/fpm727}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2056625}
\zmath{https://zbmath.org/?q=an:1068.22002}
\transl
\jour J. Math. Sci.
\yr 2005
\vol 131
\issue 4
\pages 5765--5838
\crossref{http://dx.doi.org/10.1007/s10958-005-0445-z}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Sipacheva Ol'ga V., “Nonequality of dimensions for metric groups”, Topology and Its Applications, 155:17–18 (2008), 2063–2083  crossref  mathscinet  zmath
    2. Brazas J., “The topological fundamental group and free topological groups”, Topology Appl, 158:6 (2011), 779–802  crossref  mathscinet  zmath  elib
  • Фундаментальная и прикладная математика
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