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Fundamentalnaya i Prikladnaya Matematika, 2003, Volume 9, Issue 2, Pages 99–204 (Mi fpm727)  
This article is cited in 11 scientific papers (total in 11 papers)

The topology of free topological groups

O. V. Sipacheva

M. V. Lomonosov Moscow State University
Full-text PDF (906 kB) Citations (11)
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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.
English version:
Journal of Mathematical Sciences (New York), 2005, Volume 131, Issue 4, Pages 5765–5838
DOI: https://doi.org/10.1007/s10958-005-0445-z
Bibliographic databases:
UDC: 512.546+515.12
Language: Russian
Citation: O. V. Sipacheva, “The topology of free topological groups”, Fundam. Prikl. Mat., 9:2 (2003), 99–204; J. Math. Sci., 131:4 (2005), 5765–5838
Citation in format AMSBIB
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\paper The topology of free topological groups
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\issue 2
\pages 99--204
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\transl
\jour J. Math. Sci.
\yr 2005
\vol 131
\issue 4
\pages 5765--5838
\crossref{https://doi.org/10.1007/s10958-005-0445-z}
\elib{https://elibrary.ru/item.asp?id=14223130}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-27644539689}
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  • https://www.mathnet.ru/eng/fpm/v9/i2/p99
    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Фундаментальная и прикладная математика
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    References:80
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