Aspects of compactness in convex spaces

 

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dc.contributor.advisor Webb, J H en_ZA
dc.contributor.author Camilleri, Joyce en_ZA
dc.date.accessioned 2015-09-14T07:05:49Z
dc.date.available 2015-09-14T07:05:49Z
dc.date.issued 1969 en_ZA
dc.identifier.citation Camilleri, J. 1969. Aspects of compactness in convex spaces. University of Cape Town. en_ZA
dc.identifier.uri http://hdl.handle.net/11427/13840
dc.description Includes bibliography. en_ZA
dc.description.abstract This thesis has its origin in a ten minute paper presented at the British Mathematical Colloquium in London in 1966. At this reading, a certain class of spaces was introduced by Mr. D. H. Fremlin, who furthermore, cited interesting compactness properties pertaining to these spaces. This work shall be concerned, foremostly, with the provision of proofs for the statements made by Mr. D. H. Fremlin in 1966, and with demonstrations of how these purely topological results have applications to linear topological spaces, with the emphasis placed on those which are locally convex. Our investigations of the 'Fremlin' spaces, and the search for known spaces which satisfy the 'Fremlin' conditions has led to a concentration on the separable and Frechet spaces. These are discussed in chapter 11. On reading this thesis, it will become apparent that an underlying theme is that of weak compactness. We have therefore taken the liberty, of concluding with a chapter which gives various characterisations of this. Each chapter will introduce its own subject matter. New results and different proofs of existing theorems have been obtained. en_ZA
dc.language.iso eng en_ZA
dc.title Aspects of compactness in convex spaces en_ZA
dc.type Master Thesis
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
dc.type.qualificationname MSc en_ZA
uct.type.filetype Text
uct.type.filetype Image
dc.identifier.apacitation Camilleri, J. (1969). <i>Aspects of compactness in convex spaces</i>. (Thesis). University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics. Retrieved from http://hdl.handle.net/11427/13840 en_ZA
dc.identifier.chicagocitation Camilleri, Joyce. <i>"Aspects of compactness in convex spaces."</i> Thesis., University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 1969. http://hdl.handle.net/11427/13840 en_ZA
dc.identifier.vancouvercitation Camilleri J. Aspects of compactness in convex spaces. [Thesis]. University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 1969 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/13840 en_ZA
dc.identifier.ris TY - Thesis / Dissertation AU - Camilleri, Joyce AB - This thesis has its origin in a ten minute paper presented at the British Mathematical Colloquium in London in 1966. At this reading, a certain class of spaces was introduced by Mr. D. H. Fremlin, who furthermore, cited interesting compactness properties pertaining to these spaces. This work shall be concerned, foremostly, with the provision of proofs for the statements made by Mr. D. H. Fremlin in 1966, and with demonstrations of how these purely topological results have applications to linear topological spaces, with the emphasis placed on those which are locally convex. Our investigations of the 'Fremlin' spaces, and the search for known spaces which satisfy the 'Fremlin' conditions has led to a concentration on the separable and Frechet spaces. These are discussed in chapter 11. On reading this thesis, it will become apparent that an underlying theme is that of weak compactness. We have therefore taken the liberty, of concluding with a chapter which gives various characterisations of this. Each chapter will introduce its own subject matter. New results and different proofs of existing theorems have been obtained. DA - 1969 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PB - University of Cape Town PY - 1969 T1 - Aspects of compactness in convex spaces TI - Aspects of compactness in convex spaces UR - http://hdl.handle.net/11427/13840 ER - en_ZA


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