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Convergence spaces 812


 
Modulekode WTW 812
Kwalifikasie Postgraduate
Fakulteit Faculty of Natural and Agricultural Sciences
Module-inhoud

*Consult with the Head of the Department of Mathematics and Applied Mathematics about the availability of this master’s module in a particular year.
Filters. Convergence of filters, sequences and nets in a topological space. Convergence structures, basic properties and constructs. Continuous convergence, c-embedded convergence spaces. Order convergence on lattices and posets. Convergence vector spaces and completions. Continuous convergence and duality on locally convex spaces. The Hahn-Banach theorem in convergence spaces.
Modulekrediete 1.00
NQF Level 09
Prerequisites Topology, Measure Theory and Functional Analysis on honours level
Contact time 1 lecture per week
Language of tuition Module is presented in English
Department Mathematics and Applied Mathematics
Period of presentation Semester 2
Die inligting wat hier verskyn, is onderhewig aan verandering en kan na die publikasie van hierdie inligting gewysig word.. Die Algemene Regulasies (G Regulasies) is op alle fakulteite van die Universiteit van Pretoria van toepassing. Dit word vereis dat elke student volkome vertroud met hierdie regulasies sowel as met die inligting vervat in die Algemene Reëls sal wees. Onkunde betrefffende hierdie regulasies en reels sal nie as ‘n verskoning by oortreding daarvan aangebied kan word nie.

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