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 conne...
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| Format: | Article |
| Language: | English |
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Wiley
1994-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171294000499 |
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| _version_ | 1832553204109279232 |
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| author | Dorene J. Fox |
| author_facet | Dorene J. Fox |
| author_sort | Dorene J. Fox |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-8233709cc01a4af88c371242ebd8e7fe |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1994-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-8233709cc01a4af88c371242ebd8e7fe2025-02-03T05:55:17ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251994-01-0117235736010.1155/S0161171294000499The meet of locally connected group topologiesDorene J. Fox0Louisiana State University at Alexandria, 8100 Hwy 71 South, Alexandria 71302, LA, USAThe 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.http://dx.doi.org/10.1155/S0161171294000499topological groupsquotient spaceslocally connectedtranslatable and semicontinuous topologies. |
| spellingShingle | Dorene J. Fox The meet of locally connected group topologies International Journal of Mathematics and Mathematical Sciences topological groups quotient spaces locally connected translatable and semicontinuous topologies. |
| title | The meet of locally connected group topologies |
| title_full | The meet of locally connected group topologies |
| title_fullStr | The meet of locally connected group topologies |
| title_full_unstemmed | The meet of locally connected group topologies |
| title_short | The meet of locally connected group topologies |
| title_sort | meet of locally connected group topologies |
| topic | topological groups quotient spaces locally connected translatable and semicontinuous topologies. |
| url | http://dx.doi.org/10.1155/S0161171294000499 |
| work_keys_str_mv | AT dorenejfox themeetoflocallyconnectedgrouptopologies AT dorenejfox meetoflocallyconnectedgrouptopologies |