Luís Fernando Rodrigues de Sequeira
(CAUL)
16/08/2004
Algebras, Lattices, Varieties - A conference in honor of Walter Taylor, Unversity of Colorado at Boulder, U. S. A.
Maltsev conditions and topological algebras
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 $T_0$ 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 several authors, including Gumm ('83), Coleman ('96 and '97), Bentz ('01) 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 survey these results and discuss some related open problems.
|
|
