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. Pointfree Rings: Extending notions from general topology to pointfree rings.

4. 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)

Staff:

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

 

Related Area is Functional Analysis. Contact Dr Andrew Pinchuck a.pinchuck@ru.ac.za for more deatails.

 

Last Modified: Sat, 07 May 2022 17:25:53 SAST