On topological groups of monotonic automorphisms

被引：0

作者：

Buzyakova, Raushan ^{[1
]}

机构：

[1] Polk State Coll, Math Dept, Winter Haven, FL 33881 USA

来源：

APPLIED GENERAL TOPOLOGY | 2024年 / 25卷 / 01期

关键词：

linearly ordered topological space; generalized ordered topolog- ical space; topology of point-wise convergence; paratopological group; topological group; monotonic automorphism;

D O I：

10.4995/agt.2024.18989

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 automorphisms on L along with the function composition and the topology of point-wise convergence to be a topological group.

引用

页码：229 / 235

页数：7