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Topological groups with dense compactly generated subgroups

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Topological groups with dense compactly generated subgroups

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Fujita, H.; Shakhmatov, D. (2002). Topological groups with dense compactly generated subgroups. Applied General Topology. 3(1):85-89. https://doi.org/10.4995/agt.2002.2115

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/82022

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Title: Topological groups with dense compactly generated subgroups
Author: Fujita, Hiroshi Shakhmatov, Dimitri
Issued date:
Abstract:
[EN] A topological group G is: (i) compactly generated if it contains a compact subset algebraically generating G, (ii) -compact if G is a union of countably many compact subsets, (iii) 0-bounded if arbitrary neighborhood ...[+]
Subjects: Topological group , Compactly generated group , Dense subgroup , Almost metrizable group , ℵ0-bounded group , Paracompact p-space , Metric space , σ-compact space , Space of countable type
Copyrigths: Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
Source:
Applied General Topology. (issn: 1576-9402 ) (eissn: 1989-4147 )
DOI: 10.4995/agt.2002.2115
Publisher:
Universitat Politècnica de València
Publisher version: https://doi.org/10.4995/agt.2002.2115
Type: Artículo

References

H. Fujita and D. B. Shakhmatov, A characterization of compactly generated metrizable groups, Proc. Amer. Math. Soc., to appear.

B.A. Pasynkov, Almost-metrizable topological groups (in Russian), Dokl. Akad. Nauk SSSR 161 (1965), 281-284.

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