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Geometric Topology II
September 29 - October 5, 2002
Inter-University Center, Dubrovnik; Department of Mathematics, University of Zagreb
Dubrovnik, Croatia

Organizers
Ivan Ivansic, University of Zagreb;, James E. Keesling, University of Florida;, Alexander N. Dranishnikov, University of Florida;, Sime Ungar, University of Zagreb

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CW structure of G-complexes
by
Neza Mramor Kosta
University of Ljubljana
Coauthors: Matija Cencelj, Ales Vavpetic

We discuss conditions which ensure that a G-CW complex is G-homotopy equivalent to a CW complex with cellular action with respect to some CW decomposition of the compact Lie group G. Extending previous results of Greenlees, May and Perez, who considered 1-dimensional compact Lie groups, we prove that if G is either the group SU(2) or any toral group, then for every G-CW complex X, there exists a CW complex Y which is G-homotopy equivalent to X, such that the action G×Y --> Y is a cellular map. For general compact Lie groups the problem is still open.

Date received: August 30, 2002

Copyright © 2002 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 # caje-67.