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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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Cellular resolutions of polyhedra
by
Dusan Repovs
University of Ljubljana

We shall study the Cellular Resolution Theorem which asserts that every compact 2-polyhedron P admits a cellular resolution by a fake surface Q. Under additional hypotheses on P one can improve Q to be a special 2-polyhedron. We shall see that this theorem is the best possible, i.e. one can neither weaken hypotheses on P nor strengthen conclusions about Q. We shall also discuss several interesting applications of this theorem in geometric topology and a related conjecture of Salihov.

Date received: August 29, 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-65.