Quasi-Apartness and Neighbourhood Spaces

Ishihara, H; Mines, R; Schuster, P; Vita, L.S

dc.contributor.author	Ishihara, H	en
dc.contributor.author	Mines, R	en
dc.contributor.author	Schuster, P	en
dc.contributor.author	Vita, L.S	en
dc.date.accessioned	2009-04-16T23:11:32Z	en
dc.date.available	2009-04-16T23:11:32Z	en
dc.date.issued	2005-03	en
dc.identifier.citation	CDMTCS Research Reports CDMTCS-260 (2005)	en
dc.identifier.issn	1178-3540	en
dc.identifier.uri	http://hdl.handle.net/2292/3767	en
dc.description.abstract	We extend the concept of apartness spaces to the concept of quasi-apartness spaces. We show that there is an adjunction between the category of quasi-apartness spaces and the category of neighbourhood spaces, which indicates that quasi-apartness is a more natural concept than apartness. We also show that there is an adjoint equivalence between the category of apartness spaces and the category of Grayson’s separated spaces.	en
dc.publisher	Department of Computer Science, The University of Auckland, New Zealand	en
dc.relation.ispartofseries	CDMTCS Research Report Series	en
dc.rights.uri	https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm	en
dc.source.uri	http://www.cs.auckland.ac.nz/staff-cgi-bin/mjd/secondcgi.pl?serial	en
dc.title	Quasi-Apartness and Neighbourhood Spaces	en
dc.type	Technical Report	en
dc.subject.marsden	Fields of Research::280000 Information, Computing and Communication Sciences	en
dc.rights.holder	The author(s)	en
dc.rights.accessrights	http://purl.org/eprint/accessRights/OpenAccess	en