On topological groups of monotonic automorphisms

Raushan Buzyakova

doi:10.4995/agt.2024.18989

Authors

Raushan Buzyakova Polk State College

DOI:

https://doi.org/10.4995/agt.2024.18989

Keywords:

linearly ordered topological space, generalized ordered topological space, topology of point-wise convergence, paratopological group, topological group, monotonic automorphism

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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