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II Congreso Iberoamericano de Topología y sus Aplicaciones
March 20-22, 1997

Morelía, Mexico

Organizers
Salvador García-Ferreira, Daniel Juan Pineda, Sergio Macías Alvarez, Max Neumann Coto, María L. Pérez Seguí, Salvador Romaguera Bonilla, Manuel Sanchis López, Angel Tamariz Mascarúa, M. G. Tkachenko, Javier F. Trigos Arrieta

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On weak shape equivalences
by
F. R. Ruiz del Portal
Universidad Complutense

We prove that weak shape equivalences are monomorphisms in the shape category of uniformly pointed movable continua ShM. By using an example of J. Draper and J. Keesling we show that ShM is not balanced. We will also provide an infinite-dimensional Whitehead theorem in shape theory from which we obtain, as a corollary, that for every pointed movable pair of continua (Y, X) the embedding j : X --> Y is a shape equivalence if and only if it is a weak shape equivalence.

Date received: February 9, 1997

Copyright © 1997 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 # caak-27.