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:
- Dr. Mbekezeli Nxumalo, email: m.nxumalo@ru.ac.za
Students:
Honours Students:
- Ms Thobile Ngcamphalala, Distinction,
Year: 2023,
Project supervisor: Dr M. Nxumalo,
email: g19n0670@campus.ru.ac.za
- Mr Bongamusa Tsabedze, Distinction,
Year: 2024,
Project supervisor: Dr M. Nxumalo,
email: g21t7174@campus.ru.ac.za
Masters Students:
- Ms Thobile Ngcamphalala,
Year: 2024-Present,
Project supervisor(s): Dr M. Nxumalo and Prof T. Dube (UNISA),
Project title: On Beta-normal spaces.
PhD Students:
- Mr Farai Nechikwira,
Year: 2024-Present,
Project supervisor(s): Dr M. Nxumalo and Prof T. Dube (UNISA),
Project title: Separation axioms in the category of partial frames,
email: g24N7071@campus.ru.ac.za
Organised Events:
1. Rhodes 老虎机游戏_pt老虎机-平台*官网 Pure Mathematics Workshop 2024
Last Modified: Sat, 02 Nov 2024 06:29:54 SAST