Title Spaces modelled by an algebra on [0,$\infty$] and their complete objects Author Colebunders, E. Giuli, E. Lowen, R. Faculty/Department Faculty of Sciences. Mathematics and Computer Science Publication type article Publication 2010 Amsterdam , 2010 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