On topological groups of monotonic automorphisms
Submitted: 2022-12-19
|Accepted: 2023-12-14
|Published: 2024-04-02
Copyright (c) 2024 Raushan Buzyakova
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
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Keywords:
linearly ordered topological space, generalized ordered topological space, topology of point-wise convergence, paratopological group, topological group, monotonic automorphism
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Abstract:
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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