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Algebras, Lattices, Varieties - A Conference in Honor of Walter Taylor
August 15-18, 2004
University of Colorado
Boulder, Colorado, USA

Organizers
Jennifer Hyndman, Keith Kearnes, Ralph McKenzie, George McNulty, Ágnes Szendrei, Ross Willard

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Maltsev conditions and topological algebras
by
Luis Sequeira
Universidade de Lisboa

The interplay between algebra and topology is one of the many subjects that have attracted Walter's attention and to which he has given many important contributions.

One of Walter's pioneer results in this area is that, in a permutable variety, every T0 topological algebra is Hausdorff. While there had been several results for, e.g., topological groups, Walter's theorem was one of the first results of this kind for general algebras.

This result was later extended in several ways by various authors, including Gumm ('84), Coleman ('96 and '97), Bentz ('99) and Kearnes Sequeira ('02). Most of these results were obtained by making essential use of the theory of Maltsev conditions, to which, of course, Walter has also made enormous contributions.

In this talk we will survey these results and discuss some related open problems.

Date received: July 9, 2004

Copyright © 2004 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 # caoc-22.