The meet of locally connected group topologies

Dorene J. Fox

International Journal of Mathematics and Mathematical Sciences, 1994, vol. 17, 1-4

Abstract:

The collection of all group topologies on a given group is a complete lattice partially ordered by inclusion. The purpose of this paper is to develop a convenient method of defining the meet of an arbitrary collection of group topologies and demonstrate that the meet of a collection of locally connected group topologies is also locally connected.

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:816459

DOI: 10.1155/S0161171294000499

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