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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
2. Ms Thobile Ngcamphalala,
   Year: 2025-Present,
   Supervisor(s): Dr M. Nxumalo,
   Title: On the category of almost K-compact locales
   email: g19n0670@campus.ru.ac.za

Organised Events:

1. Rhodes University Pure Mathematics Workshop 2024

Last Modified: Fri, 25 Apr 2025 08:30:07 SAST