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arXiv · 2212.09236

On Topological Groups of Monotonic Autohomeomorphisms

Raushan Buzyakova
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Abstract

We study topological groups of monotonic autohomeomorphisms on a generalized ordered space $L$. We find a condition that is necessary and sufficient for the set of all monotonic autohomeomorphisms on $L$ along with the function composition and the topology of point-wise convergence to be a topological group.

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Raushan Buzyakova. 2022-12-19. On Topological Groups of Monotonic Autohomeomorphisms. https://arxiv.org/abs/2212.09236

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