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A remark on embedding topological groups into products
Published online by Cambridge University Press: 17 April 2009
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Let P be a class of topological groups such that every topological group is isomorphic to a topological subgroup of the direct product (with Tychonoff topology) of a subfamily of P. Then every Tychonoff space is homeomorphic to a subspace of a group from P.
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- Copyright © Australian Mathematical Society 1994
References
[1]Arhangel'skiĭ, A.V., ‘Relations among invariants of topological groups and their subspaces’, Russian Math. Surveys 35 (1980), 1–23.CrossRefGoogle Scholar
[2]Arhangel'skiĭ, A.V., ‘Classes of topological groups’, Russian Math. Surveys 36 (1981), 151–174.CrossRefGoogle Scholar
[3]Brooks, M.S., Morris, S.A. and Thompson, H.B., ‘Generating varieties of topological groups’, Proc. Edinbourgh Math. Soc. 18 (1973), 191–197.CrossRefGoogle Scholar
[4]Guran, I.I., ‘Topology of an infinite symmetric group and condensations’, (in Russian), Comment. Math. Univ. Carolin. 22 (1981), 311–316.Google Scholar
[6]Markov, A.A., ‘Three papers on topological groups’, Amer. Math. Soc. Transl. 30 (1950).Google Scholar
[7]Megrelishvili, M.G., ‘On the imbedding of topological spaces into spaces with strong properties of homogenuity’, (in Russian), Bull. Acad. Sci. Georgian SSR 121 (1986), 257–260.Google Scholar
[8]Pestov, V.G., ‘On embeddings and condensations of topological groups’, Math. Notes 31 (1982), 228–230.CrossRefGoogle Scholar