An open mapping theorem

Saak S. Gabriyelyan; Sidney A. Morris

doi: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

Access to Document

10.1017/S000497271500146X

Cite this

@article{e874207ab1274688a0019dc48026a3d5,

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",

author = "Gabriyelyan, {Saak S.} and Morris, {Sidney A.}",

note = "Publisher Copyright: {\textcopyright} 2016 Australian Mathematical Publishing Association Inc.",

year = "2016",

month = aug,

day = "1",

doi = "10.1017/S000497271500146X",

language = "American English",

volume = "94",

pages = "65--69",

journal = "Bulletin of the Australian Mathematical Society",

issn = "0004-9727",

publisher = "Cambridge University Press",

number = "1",

}

TY - JOUR

T1 - An open mapping theorem

AU - Gabriyelyan, Saak S.

AU - Morris, Sidney A.

PY - 2016/8/1

Y1 - 2016/8/1

N2 - 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.

AB - 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.

KW - locally compact abelian group

KW - open mapping theorem

KW - pro-Lie group

UR - http://www.scopus.com/inward/record.url?scp=84953716661&partnerID=8YFLogxK

U2 - 10.1017/S000497271500146X

DO - 10.1017/S000497271500146X

M3 - Article

SN - 0004-9727

VL - 94

SP - 65

EP - 69

JO - Bulletin of the Australian Mathematical Society

JF - Bulletin of the Australian Mathematical Society

IS - 1

ER -

An open mapping theorem

Abstract

Keywords

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this