Countable inductive limits

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dc.contributor.advisorWebb, John Hen_ZA
dc.contributor.authorMartens, Ericen_ZA
dc.date.accessioned2016-03-30T07:08:24Z
dc.date.available2016-03-30T07:08:24Z
dc.date.issued1972en_ZA
dc.description.abstractInductive systems and inductive limits have by now become fairly well established in the general theory of topological vector spaces. It is a branch of Functional Analysis which is receiving a reasonable amount of attention by modern mathematicians. It is of course a very interesting subject of its own accord, but is also useful in solving problems and proving theorems which one does not suspect are intimately related to it. As an example we can consider the proof of the non-existence of a countably infinite dimensional metrisable barrelled space.en_ZA
dc.identifier.apacitationMartens, E. (1972). <i>Countable inductive limits</i>. (Thesis). University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics. Retrieved from http://hdl.handle.net/11427/18366en_ZA
dc.identifier.chicagocitationMartens, Eric. <i>"Countable inductive limits."</i> Thesis., University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 1972. http://hdl.handle.net/11427/18366en_ZA
dc.identifier.citationMartens, E. 1972. Countable inductive limits. University of Cape Town.en_ZA
dc.identifier.ris TY - Thesis / Dissertation AU - Martens, Eric AB - Inductive systems and inductive limits have by now become fairly well established in the general theory of topological vector spaces. It is a branch of Functional Analysis which is receiving a reasonable amount of attention by modern mathematicians. It is of course a very interesting subject of its own accord, but is also useful in solving problems and proving theorems which one does not suspect are intimately related to it. As an example we can consider the proof of the non-existence of a countably infinite dimensional metrisable barrelled space. DA - 1972 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PB - University of Cape Town PY - 1972 T1 - Countable inductive limits TI - Countable inductive limits UR - http://hdl.handle.net/11427/18366 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/18366
dc.identifier.vancouvercitationMartens E. Countable inductive limits. [Thesis]. University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 1972 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/18366en_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.otherMathematicsen_ZA
dc.subject.otherTopologyen_ZA
dc.titleCountable inductive limitsen_ZA
dc.typeMaster Thesis
dc.type.qualificationlevelMasters
dc.type.qualificationnameMScen_ZA
uct.type.filetypeText
uct.type.filetypeImage
uct.type.publicationResearchen_ZA
uct.type.resourceThesisen_ZA
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