The lattice of group topologies and compact representations (Q2762066)
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scientific article; zbMATH DE number 1686800
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The lattice of group topologies and compact representations |
scientific article; zbMATH DE number 1686800 |
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15 July 2003
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group topologies
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lattice
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submaximal topology
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The lattice of group topologies and compact representations (English)
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The present paper is a survey of some lattice properties of some classes of topologies, mainly of group topologies. The first part deals with maximal topologies on a group and their infimum, i.e., with the submaximal topology (its properties and modifications are described). The second part is devoted to complementation and its variations (independence, transversality). Some of the results are new as, e.g., the following ones: Every surjective homomorphism of groups is continuous with respect to the submaximal topologies, and, submaximal topologies commute with finite products.NEWLINENEWLINEFor the entire collection see [Zbl 0970.00016].
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