Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Paracompactness of paratopological groups which are GO-spaces - MaRDI portal

Paracompactness of paratopological groups which are GO-spaces (Q930859)

From MaRDI portal





scientific article; zbMATH DE number 5292209
Language Label Description Also known as
English
Paracompactness of paratopological groups which are GO-spaces
scientific article; zbMATH DE number 5292209

    Statements

    Paracompactness of paratopological groups which are GO-spaces (English)
    0 references
    0 references
    24 June 2008
    0 references
    In a previous paper by the same author [J. Aust. Math. Soc. 84, No. 2, 283--288 (2008; Zbl 1151.54020)] a sufficient condition for a topological space to be metacompact was given. In this paper the author shows that order-preserving GO-paratopological groups satisfy that condition; using the fact that GO-spaces are collectionwise normal, and the Michael-Nagami theorem, it follows that all order-preserving GO-paratopological groups are paracompact.
    0 references
    paratopological group
    0 references
    order preserving GO-space
    0 references
    paracompact space
    0 references
    0 references

    Identifiers