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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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Extending maps in asymptotic categories
by
Marcin Sawicki
Warsaw Uniwersity

In the paper 'Asymptotic Topology', A. N. Dranishnikov introduced the notion of absolute extensors (AE) and absolute neighborhood extensors (ANE) in asymptotic categories. In this talk we present an alternative proof of the fact that real half-line is an AE in these categories, we give a counterexample to the asymptotic version of the Homotopy Extension Theorem and we state some positive results on extending maps in the case of nonpositively curved or delta-hyperbolic spaces.

Date received: August 6, 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-41.