In English

First Steps in Topological Transformation Groups

(Gliwice, Poland, 4.9.2007)

Lecturer

Martin Fluch

Content

The theory of topological transformation groups combines algebra with topology in a beautifull way. This short course gives an introduction to some of the very basic definitions concerning topological transformation groups and a few simple results. All the ommited proofs may be found in any book about transformation groups, the book by Kawakubo on transformation groups being one of them. Due to the limited amount of time it is impossible to serve more than only a short glimpse of the surface of this theroy, but it might give an insight of the interplay of algebra and topology.

This short lecture will be part of the 3rd Summer School of Algebra and Topology which is held in Gliwice, Poland from 3rd to 7th of September.

Lecture Notes

The notes to this lecture can be downloaded here: ttgrp_intro.pdf

Literature

• Glen Bredon. Introduction to Compact Transformation Groups. Academic Press, 1972.

• Tammo tom Dieck. Transformation Groups. Walter de Gruyter, 1987.

• Katsuo Kawakubo. The Theory of Transformation Groups. Oxford University Press, 1991.