Title
Spaces modelled by an algebra on [0,<tex>$\infty$</tex>] and their complete objects Spaces modelled by an algebra on [0,<tex>$\infty$</tex>] and their complete objects
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
Publication type
article
Publication
Amsterdam ,
Subject
Mathematics
Source (journal)
Topology and its applications. - Amsterdam
Volume/pages
157(2010) :8 , p. 1335-1346
ISSN
0166-8641
ISI
000277677500008
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
We study constructs of type View the MathML source consisting of affine sets over [0,∞] modelled by some algebra Ω. The categorical theory of closure operators is used to study separated and complete objects with respect to the Zariski closure operator, naturally defined in any category View the MathML source. Several basic examples are provided, in particular we show that the construct of approach spaces, the constructs of pseudo (quasi) metric spaces with contractions, the construct of topological spaces and several of its subconstructs and the construct of non-Archimedean spaces all fit into this setting.
E-info
https://repository.uantwerpen.be/docman/iruaauth/d14591/acf998fb477.pdf
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000277677500008&DestLinkType=RelatedRecords&DestApp=ALL_WOS&UsrCustomerID=ef845e08c439e550330acc77c7d2d848
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000277677500008&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=ef845e08c439e550330acc77c7d2d848
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000277677500008&DestLinkType=CitingArticles&DestApp=ALL_WOS&UsrCustomerID=ef845e08c439e550330acc77c7d2d848
Handle