Weakened Lie groups and their locally isometric completions.
type: Item
instance of: scholarly article
title: Weakened Lie groups and their locally isometric completions.
zbMATH Open document ID: 1039.22001
DOI: 10.1016/S0166-8641(03)00134-2
author: Jon W. Short
author: T. Christine Stevens
published in: Topology and its Applications
publication date: 2004-02-03T00:00:00Z
review text: Motivated by such topics as the immersions of analytic groups, the authors consider weakened Lie groups (topological groups arising from weakening the topology of a Lie group). Even though such groups can be quite diverse and pathological, the authors show that a large class of weakened Lie groups are locally isometric, and that the same property holds for their completions. Other results include constructive procedures for and examples of such groups.
Mathematics Subject Classification ID: 22A05
Mathematics Subject Classification ID: 54G15
Mathematics Subject Classification ID: 54E35
zbMATH DE Number: 2037227
zbMATH Keywords: topological group
zbMATH Keywords: Lie group
zbMATH Keywords: weakened Lie group
reviewed by: Jimmie D. Lawson
MaRDI profile type: Publication
Wikidata QID: Q115339621
cites work: Q5522002
cites work: Construction of group topologies on abelian groups
cites work: Q5616218
cites work: Closures of Weakened Analytic Groups
cites work: Decisive Subgroups of Analytic Groups
cites work: Weakening the Topology of a Lie Group
cites work: Weakened Lie groups and groups of homeomorphisms
full work available at URL: s0166-8641(03)00134-2
OpenAlex ID: W1983645027
description: scientific article; zbMATH DE number 2037227