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Groups and semigroups in analysis: a conference in honour of J.S. Pym on the occasion of his retirement
May 30 - June 1, 2003
University of Sheffield
Sheffield, UK

Organizers
A. Lau, University of Alberta; P. Milnes, University of Western Ontario; R. Sharp, University of Sheffield; D. Strauss, University of Hull

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Group operations on homogeneous spaces
by
Y. G. Zelenyuk
Kyiv Taras Shevchenko University

It is well known that not all homogeneous spaces admit a structure of a topological group and even a structure of a group with continuous left shifts. I shall show that every countably infinite homogeneous regular space admits a structure of any countably infinite group with continuous left shifts.

Date received: February 22, 2003

Copyright © 2003 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 Mathematical Conference Abstracts. Document # cakn-06.