On Topological Groups of Monotonic Autohomeomorphisms

Autor:	Buzyakova, Raushan
Rok vydání:	2022
Předmět:	Mathematics - General Topology 54F05 54H11 54C35
Druh dokumentu:	Working Paper
Popis:	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. Comment: submitted for publication to Applied General Topology
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2212.09236 Zobrazit plný text záznamu View this record from Arxiv