Realcompact Alexandroff spaces and regular σ-frames

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dc.contributor.advisorBrümmer, Guillaume C Len_ZA
dc.contributor.authorGilmour, Christopher Robert Andersonen_ZA
dc.date.accessioned2016-08-22T12:02:52Z
dc.date.available2016-08-22T12:02:52Z
dc.date.issued1981en_ZA
dc.descriptionBibliography: pages 96-103.en_ZA
dc.description.abstractIn the early 1940's, A.D. Alexandroff [1940), [1941) and [1943] introduced a concept of space, more general than topological space, in order to obtain a simple connection between a space and the system of real-valued functions defined on it. Such a connection aided the investigation of the relationships between the linear functionals on these systems of functions and the additive set functions defined on the space. The Alexandroff spaces of this thesis are what Alexandroff himself called the completely normal spaces and what H. Gordon [1971) called the zero-set spaces.en_ZA
dc.identifier.apacitationGilmour, C. R. A. (1981). <i>Realcompact Alexandroff spaces and regular σ-frames</i>. (Thesis). University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics. Retrieved from http://hdl.handle.net/11427/21395en_ZA
dc.identifier.chicagocitationGilmour, Christopher Robert Anderson. <i>"Realcompact Alexandroff spaces and regular σ-frames."</i> Thesis., University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 1981. http://hdl.handle.net/11427/21395en_ZA
dc.identifier.citationGilmour, C. 1981. Realcompact Alexandroff spaces and regular σ-frames. University of Cape Town.en_ZA
dc.identifier.ris TY - Thesis / Dissertation AU - Gilmour, Christopher Robert Anderson AB - In the early 1940's, A.D. Alexandroff [1940), [1941) and [1943] introduced a concept of space, more general than topological space, in order to obtain a simple connection between a space and the system of real-valued functions defined on it. Such a connection aided the investigation of the relationships between the linear functionals on these systems of functions and the additive set functions defined on the space. The Alexandroff spaces of this thesis are what Alexandroff himself called the completely normal spaces and what H. Gordon [1971) called the zero-set spaces. DA - 1981 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PB - University of Cape Town PY - 1981 T1 - Realcompact Alexandroff spaces and regular σ-frames TI - Realcompact Alexandroff spaces and regular σ-frames UR - http://hdl.handle.net/11427/21395 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/21395
dc.identifier.vancouvercitationGilmour CRA. Realcompact Alexandroff spaces and regular σ-frames. [Thesis]. University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 1981 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/21395en_ZA
dc.language.isoengen_ZA
dc.publisher.departmentDepartment of Mathematics and Applied Mathematicsen_ZA
dc.publisher.facultyFaculty of Scienceen_ZA
dc.publisher.institutionUniversity of Cape Town
dc.subject.otherRealcompact spacesen_ZA
dc.titleRealcompact Alexandroff spaces and regular σ-framesen_ZA
dc.typeDoctoral Thesis
dc.type.qualificationlevelDoctoral
dc.type.qualificationnamePhDen_ZA
uct.type.filetypeText
uct.type.filetypeImage
uct.type.publicationResearchen_ZA
uct.type.resourceThesisen_ZA
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