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Categorical Methods in Algebra and Topology (CatMAT 2000)
August 21-25, 2000
University of Bremen
Bremen, Germany

Organizers
Hans-E. Porst, Horst Herrlich

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Shape and strong shape equivalences
by
Luciano Stramaccia
University of Perugia - Italy

Shape and strong shape equivalences are defined in an abstract category endowed with a cylinder functor.Several properties are studied, both new and generalized from particular classes of topological spaces. Special consideration is given to categories which also have pushouts, since in such a case it is possible to define the mapping and the double mapping cylinder of a morphism. These tools reveal to be very useful in characterizing shape and strong shape equivalences. It is also introduced a strong homotopy extension property (SHEP).

Date received: May 31, 2000

Copyright © 2000 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 # caeq-32.