On topological groups of monotonic automorphisms
We study topological groups of monotonic automorphisms on a generalized ordered space L. We find a condition that is necessary and sufficient for the set of all monotonic automorphism on L along with the function composition and the topology of point-wise convergence to be a topological group.
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| Format: | Article |
| Language: | English |
| Published: |
Universitat Politècnica de València
2024-04-01
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| Series: | Applied General Topology |
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| Online Access: | https://polipapers.upv.es/index.php/AGT/article/view/18989 |
| _version_ | 1797216333039927296 |
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| author | Raushan Buzyakova |
| author_facet | Raushan Buzyakova |
| author_sort | Raushan Buzyakova |
| collection | DOAJ |
| description | We study topological groups of monotonic automorphisms on a generalized ordered space L. We find a condition that is necessary and sufficient for the set of all monotonic automorphism on L along with the function composition and the topology of point-wise convergence to be a topological group. |
| first_indexed | 2024-04-24T11:44:17Z |
| format | Article |
| id | doaj.art-e2f47da24da14406beca25f701a73683 |
| institution | Directory Open Access Journal |
| issn | 1576-9402 1989-4147 |
| language | English |
| last_indexed | 2024-04-24T11:44:17Z |
| publishDate | 2024-04-01 |
| publisher | Universitat Politècnica de València |
| record_format | Article |
| series | Applied General Topology |
| spelling | doaj.art-e2f47da24da14406beca25f701a736832024-04-09T12:09:01ZengUniversitat Politècnica de ValènciaApplied General Topology1576-94021989-41472024-04-0125122923510.4995/agt.2024.1898918179On topological groups of monotonic automorphismsRaushan Buzyakova0Polk State College We study topological groups of monotonic automorphisms on a generalized ordered space L. We find a condition that is necessary and sufficient for the set of all monotonic automorphism on L along with the function composition and the topology of point-wise convergence to be a topological group.https://polipapers.upv.es/index.php/AGT/article/view/18989linearly ordered topological spacegeneralized ordered topological spacetopology of point-wise convergenceparatopological grouptopological groupmonotonic automorphism |
| spellingShingle | Raushan Buzyakova On topological groups of monotonic automorphisms Applied General Topology linearly ordered topological space generalized ordered topological space topology of point-wise convergence paratopological group topological group monotonic automorphism |
| title | On topological groups of monotonic automorphisms |
| title_full | On topological groups of monotonic automorphisms |
| title_fullStr | On topological groups of monotonic automorphisms |
| title_full_unstemmed | On topological groups of monotonic automorphisms |
| title_short | On topological groups of monotonic automorphisms |
| title_sort | on topological groups of monotonic automorphisms |
| topic | linearly ordered topological space generalized ordered topological space topology of point-wise convergence paratopological group topological group monotonic automorphism |
| url | https://polipapers.upv.es/index.php/AGT/article/view/18989 |
| work_keys_str_mv | AT raushanbuzyakova ontopologicalgroupsofmonotonicautomorphisms |