An open mapping theorem

Saak S. Gabriyelyan; Sidney A. Morris

doi:https://doi.org/10.1017/S000497271500146X

An open mapping theorem

Saak S. Gabriyelyan, Sidney A. Morris

Department of Mathematics

Ben-Gurion University of the Negev

Research output: Contribution to journal › Article › peer-review

Abstract

It is proved that any surjective morphism f: ℤ^k→K onto a locally compact group K is open for every cardinal_k. This answers a question posed by Hofmann and the second author.

Original language	American English
Pages (from-to)	65-69
Number of pages	5
Journal	Bulletin of the Australian Mathematical Society
Volume	94
Issue number	1
DOIs	https://doi.org/10.1017/S000497271500146X
State	Published - 1 Aug 2016

Keywords

locally compact abelian group
open mapping theorem
pro-Lie group

All Science Journal Classification (ASJC) codes

General Mathematics

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https://doi.org/10.1017/S000497271500146X

Cite this

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title = "An open mapping theorem",

abstract = "It is proved that any surjective morphism f: ℤk→K onto a locally compact group K is open for every cardinalk. This answers a question posed by Hofmann and the second author.",

keywords = "locally compact abelian group, open mapping theorem, pro-Lie group",

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An open mapping theorem

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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