Topology & Algebra


The Cape Town Research Group in Topology and Algebra traces its origins back almost 40 years to the early activities in Categorical Topology at the University of Cape Town. Under the leadership of Professors Keith Hardie (who died on 19 May 2014)  and Guillaume Brümmer, the group established itself as an international centre of research in categorical topology and bi-topology. Further important contributions were made by Dr Japie Vermeulen (who died on 11 February 2001) and Prof Paul Cherenack (who died on 17 January 2002).  

A long-time association with  Professor Bernhard Banaschewski (McMaster University, Canada) has seen the development of a strong school in frame (locale) theory within the research group. Only recently we celebrated his 90th birthday with a workshop at UCT.

Our present research interests cover categorical topology, (asymmetric) analytic topology, frame (locale) theory, group theory, differential geometry and discrete mathematics.

Our group has closed links to another research group in our department that concentrates on category theory and is run by Professor George Janelidze.

The group's activities extend to the Universities of Cape Town, Stellenbosch and the Western Cape.


From this site you can access information about our members, our seminars and other activities, in which we are involved.


It is also possible to download a selection of scientific contributions, produced by our members in the last years.  

The same material can be found in the external site:

which might be more updated and more flexible for non-Windows systems.

Professor Hans-Peter Künzi

Research Group Leader