Transitive quasi-uniform spaces

 

Show simple item record

dc.contributor.advisor Brümmer, Guillaume C L en_ZA
dc.contributor.author Halpin, Michael Norman en_ZA
dc.date.accessioned 2016-03-28T14:25:35Z
dc.date.available 2016-03-28T14:25:35Z
dc.date.issued 1974 en_ZA
dc.identifier.citation Halpin, M. 1974. Transitive quasi-uniform spaces. University of Cape Town. en_ZA
dc.identifier.uri http://hdl.handle.net/11427/18241
dc.description.abstract Chapter 1 deals with basic properties of the category of quasi-uniform spaces and its full subcategory Qut of transitive quasi-uniform spaces. Chapter 2 concerns Fletcher's construction. We extend the class of covers to which this construction may be applied and study the functoriality of the construction. The major result is that every right inverse of the forgetful functor Qut--->Top is obtainable by the extended Fletcher construction. In Chapter 3 we characterize pairwise zero dimensional bitopological spaces as those admitting transitive quasi-uniformities. An initiality characterization of pairwise zero dimensional bitopological spaces suggested by Brümmer leads to a description of the coarsest right inverse of the forgetful functor. In Chapter 4 we discuss countably based transitive quasi-uniformities, in that they relate to quasi-metrization. We elaborate on a result of Fletcher and Lindgren (1972) and obtain a bitopological analogue. In Chapter 5 we bring together a number of topics which relate to our previous chapters and point to further questions. en_ZA
dc.language.iso eng en_ZA
dc.subject.other Mathematics en_ZA
dc.subject.other Topology en_ZA
dc.title Transitive quasi-uniform spaces en_ZA
dc.type Thesis / Dissertation en_ZA
uct.type.publication Research en_ZA
uct.type.resource Thesis en_ZA
dc.publisher.institution University of Cape Town
dc.publisher.faculty Faculty of Science en_ZA
dc.publisher.department Department of Mathematics and Applied Mathematics en_ZA
dc.type.qualificationlevel Masters en_ZA
dc.type.qualificationname MSc en_ZA
uct.type.filetype Text
uct.type.filetype Image


Files in this item

This item appears in the following Collection(s)

Show simple item record