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Continuity of the Inverse

Name: Continuity of the Inverse
Creator: Helmut Pfister
Keywords: locally compact, completely metrizable, continuous inverse, topology, Structure of general topological groups, topological group, 0211 other engineering and technologies, 02 engineering and technology, 0101 mathematics, locally Čech-complete

Continuity of the inverse

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 1985Publisher:JSTORJournal:Proceedings of the American Mathematical Society, volume 95, page 312 (issn: 0002-9939,

Authors: Helmut Pfister;

doi: 10.2307/2044534 , 10.1090/s0002-9939-1985-0801345-5

Continuity of the Inverse

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Abstract

We present a simple device for proving the continuity of the inverse in a group with a locally Čech-complete topology which makes the multiplication continuous; our proof even works in case the topology is regular and locally strongly countably complete.

Keywords

locally compact, completely metrizable, continuous inverse, topology, Structure of general topological groups, topological group, locally Čech-complete

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	citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	23
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Top 10%
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 10%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average

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