dc.contributor.author | Okunev, O | |
dc.contributor.author | Tkacenko, M | |
dc.date.accessioned | 2011-01-22T10:27:45Z | |
dc.date.available | 2011-01-22T10:27:45Z | |
dc.date.issued | 1998 | |
dc.identifier.issn | 0075-8469 | |
dc.identifier.uri | http://hdl.handle.net/11154/2702 | |
dc.description.abstract | If a discrete subset S of a topological group G with identity 1 generates a dense subgroup of G and S boolean OR {1} is closed in G, then S is called a suitable set for G. We show that every almost metrizable topological group has a suitable set, thus generalizing a similar result for metrizable groups obtained by Comfort, Morris, Robbie, Svetlichny and Tkacenko. It is also proved that the free topological groups of compact spaces from a class including all dyadic and all polyadic spaces have suitable sets. | en_US |
dc.language.iso | en | en_US |
dc.title | On thin generating sets in topological groups | en_US |
dc.type | Article | en_US |
dc.identifier.idprometeo | 2759 | |
dc.source.novolpages | 201:327-342 | |
dc.subject.wos | Mathematics | |
dc.description.index | WoS: SCI, SSCI o AHCI | |
dc.subject.keywords | suitable set | |
dc.subject.keywords | almost metrizable group | |
dc.subject.keywords | free topological group | |
dc.subject.keywords | compact dyadic space | |
dc.subject.keywords | retraction | |
dc.subject.keywords | M-equivalent spaces | |
dc.relation.journal | Abelian Groups, Module theory, and Topology - Proceedings In Honour of Adalberto Orsatti's 60th Birthday |
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