On topological groups of monotonic automorphisms

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.

Bibliographic Details
Main Author: Raushan Buzyakova
Format: Article
Language:English
Published: Universitat Politècnica de València 2024-04-01
Series:Applied General Topology
Subjects:
linearly ordered topological space
generalized ordered topological space
topology of point-wise convergence
paratopological group
topological group
monotonic automorphism
Online Access:https://polipapers.upv.es/index.php/AGT/article/view/18989

Internet

https://polipapers.upv.es/index.php/AGT/article/view/18989

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