Rhodes>Mathematics>Research>Topology and Category Theory

Topology and Category Theory

Research Topics:

1. General Topology: Compactifications, generalized topological spaces, separation axioms, convergence, bitopological spaces, uniform spaces and metrization.

2. Pointfree Topology: Transferring of pointset notions to pointfree topology, sublocales, uniform frames, bilocales, metrization of frames, coproducts of frames and remainders of frames

3. Category Theory: Extending topological results using categorical notions, reflective subcategories and monads.

Related courses at Rhodes
  • Analysis (MAM 202)
  • Real Analysis
  • Topology (Third Year and Honours)
  • Introduction to Category Theory (Honours)

Staff:

Mr Mbekezeli Nxumalo, email: m.nxumalo@ru.ac.za 

 

Last Modified: Fri, 13 Jan 2023 17:40:14 SAST