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International Journal of Mathematics and Mathematical Sciences | Vol.17, Issue.2 | 2017-05-30 | Pages

International Journal of Mathematics and Mathematical Sciences

The meet of locally connected group topologies

Dorene J. Fox  
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.

Original Text (This is the original text for your reference.)

The meet of locally connected group topologies

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.

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Dorene J. Fox,.The meet of locally connected group topologies. 17 (2),.

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