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Rhodes>Mathematics>Research>Topology: General, Point-Free and Categorical

Rhodes Topology (General, Point-Free and Categorical) Group (RTG)

Research Topics:

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

2. Point-Free Topology: Transferring of pointset notions to pointfree topology, sublocales, separation axioms of locales, uniform frames, bilocales, metrization of frames, coproducts of frames, remainders of frames and partial frames.

3. Categorical Topology: 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)

Members:
  1. Dr. Mbekezeli Nxumalo, email: m.nxumalo@ru.ac.za 

Students:

Honours Students:

  1. Ms Thobile Ngcamphalala, Distinction,
    Year: 2023,
    Project supervisor: Dr M. Nxumalo,
    email: g19n0670@campus.ru.ac.za 
  2. Mr Bongamusa Tsabedze, Distinction,
    Year: 2024,
    Project supervisor: Dr M. Nxumalo,
    email: g21t7174@campus.ru.ac.za  
  3. Mr Siphosethu Malinga,
    Year: 2025,
    Project supervisor: Dr M. Nxumalo,
    email: g22m2488@campus.ru.ac.za   

Masters Students:

  1. Ms Thobile Ngcamphalala, Distinction
    Year: 2024,
    Supervisor(s): Dr M. Nxumalo and Prof T. Dube (UNISA),
    Title: On Beta-normal spaces.
  2. Mr Bongamusa Tsabedze, 
    Year: 2024 - Present,
    Supervisor(s): Dr M. Nxumalo
    Title: More on almost compact locales

PhD Students:

  1. Mr Farai Nechikwira,
    Year: 2024-Present,
    Supervisor(s): Dr M. Nxumalo and Prof T. Dube (UNISA),
    Title: Separation axioms in the category of partial frames,
    email: g24N7071@campus.ru.ac.za

Organised Events:

1. Rhodes University Pure Mathematics Workshop 2024

Last Modified: Thu, 13 Mar 2025 21:19:40 SAST