Acta Mathematica Hungarica
Volume/Issue:
Volume 121: Issue 1-2
Expandability and s -expandability
Authors:
S. Jiang Shandong University School of Mathematics and System Sciences Jinan Shandong 250100 P.R. China

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W. Sun Shandong University School of Mathematics and System Sciences Jinan Shandong 250100 P.R. China

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Pages:
35–44
Online Publication Date:
30 Apr 2008
Publication Date:
01 Oct 2008
Article Category:
Research Article
DOI:
https://doi.org/10.1007/s10474-008-7173-z
Keywords:
expandable; s -expandable; s -locally finite collection; extremally disconnected; 54D20; 54F99; 54G05
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Abstract  

We show that every T1 wN-space is expandable and as a corollary, we prove that a ϑ-refinable sym-wg T1 space is paracompact and thus two problems of Chris Good are solved. We also investigate s-expandability, and for extremally disconnected spaces, a characterization of s-expandability is given in terms of covers, which gives an extension to a known result.

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Cover Acta Mathematica Hungarica
Acta Mathematica Hungarica
Print ISSN:
0236-5294
Online ISSN:
1588-2632

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Acta Mathematica Hungarica
Language English
Size B5
Year of
Foundation		 1950
Volumes
per Year		 3
Issues
per Year		 6
Founder Magyar Tudományos Akadémia  
Founder's
Address		 H-1051 Budapest, Hungary, Széchenyi István tér 9.
Publisher Akadémiai Kiadó
Springer Nature Switzerland AG
Publisher's
Address		 H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible
Publisher		 Chief Executive Officer, Akadémiai Kiadó
ISSN 0236-5294 (Print)
ISSN 1588-2632 (Online)

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