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- W1981659116 abstract "The notion of a Moscow space is applied to the study of some problems of topological algebra, following an approach introduced by A.V. Arhangel'skii [Comment. Math. Univ. Carolin. 41 (2000) 585–595]. In particular, many new, and, it seems, unexpected, solutions to the equation νX×νY=ν(X×Y) are identified. We also find new large classes of topological groups G, for which the operations in G can be extended to the Dieudonné completion of the space G in such a way that G becomes a topological subgroup of the topological group μG. On the other hand, it was shown by A.V. Arhangel'skii [Comment. Math. Univ. Carolin. 41 (2000) 585–595] that there exists an Abelian topological group G for which such an extension is impossible (this provided an answer to a question of V.G. Pestov and M.G. Tkačenko, dating back to 1985). Some new open questions are formulated." @default.
- W1981659116 created "2016-06-24" @default.
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- W1981659116 date "2001-10-01" @default.
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- W1981659116 title "Topological groups and C-embeddings" @default.
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- W1981659116 doi "https://doi.org/10.1016/s0166-8641(00)00073-0" @default.
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