Topology, Algebra and Dynamical Systems

The Cape Town Research Group  ''Topology, Algebra and Dynamical Systems'' traces its origins back almost 50 years to the early activities in Categorical Topology at the University of Cape Town.

Under the leadership of 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 Japie Vermeulen (who died on 11 February 2001) and Paul Cherenack (who died on 17 January 2002). 

A long-time association with  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,  theory of locally compact groups, differential geometry, Lie theory and discrete mathematics. More recently we focus on interactions between topology and dynamical systems, investigating  topological entropy, Lie groups and  random walks.

Our activities often extend to the Universities of Cape Town, Stellenbosch University and University of the Western Cape.

From this site you can access information about our members,  seminars,  meetings and recent activities.

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

Hans-Peter Künzi, Francesco G. Russo and Anneliese Schauerte

Research Group Leaders