Convergence spaces 812


 
Module code WTW 812
Qualification Postgraduate
Faculty Faculty of Natural and Agricultural Sciences
Module content

*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.

Module credits 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

The regulations and rules for the degrees published here are subject to change and may be amended after the publication of this information.

The General Academic Regulations (G Regulations) and General Student Rules apply to all faculties and registered students of the University, as well as all prospective students who have accepted an offer of a place at the University of Pretoria. On registering for a programme, the student bears the responsibility of ensuring that they familiarise themselves with the General Academic Regulations applicable to their registration, as well as the relevant faculty-specific and programme-specific regulations and information as stipulated in the relevant yearbook. Ignorance concerning these regulations will not be accepted as an excuse for any transgression, or basis for an exception to any of the aforementioned regulations.

Copyright © University of Pretoria 2025. All rights reserved.

FAQ's Email Us Virtual Campus Share Cookie Preferences