Ultrarelational spaces and triquotient maps
by
Dirk Hofmann
Department of Mathematics, University of Coimbra
Coauthors: Maria Manuel Clementino (University of Coimbra)

In the sequel of the characterization of topological triquotient maps in terms of convergence of ultrafilters presented by M. M. Clementino [1], in this talk we show how this characterization can be used to prove stability properties of triquotient maps, namely their pullback stability (recently proved by G. Richter [2]). In order to do this we investigate the category URel of ultrarelational spaces and study some special classes of quotient maps there.

[1] M. M. Clementino and D. Hofmann, Triquotient maps versus ultrafilter convergence, presented at CatMAT2000.
[2] G. Richter, Exponentiable maps and triquotients in Top, Preprint.

Date received: May 31, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caeq-31.