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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 cotelescope fibrant extensions of shape fibrations
by
Alexandre I. Bykov
Universidad Autónoma de Puebla

Cotelescope construction of fibrant extension is applied to the category of maps. It is used to study properties of shape fibrations. One can show that a shape fibration (or shape absolutely soft map) of compacta has a fibrant extension which is a Hurewicz fibration (or, respectively, absolutely soft map).

This implies simple proofs for many results already well known for shape fibrations and also some new results. In particular, shape fibration, which is a strong shape domination, saves fibrants and approximate polyhedra.

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-08.