Putting topologies on sets making given self-maps continuous
by
Chris Good
University of Birmingham
Coauthors: Sina Greenwood

Given a map T:X® X on an arbitrary set, is it possible to put an interesting topology on X with respect to which T is continuous? It is possible to characterize those maps T for which it is possible to put a compact Hausdorff topology on X in terms of the orbits of T. What about other topological properties? We look at this problem for Lindelöf spaces, where it turns out that the answer is not trivial ... at least we haven't solved it yet.

Date received: June 16, 2004