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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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Recent advances and problems in Cp-theory
by
Vladimir V. Tkachuk
Universidad Autónoma Metropolitana de México

We are going to concentrate on two important lines of investigation in Cp-theory. The first one is the study of the spaces Cp(X) and their categorical properties with the emphasis on better conduct of Cp(X) than of general Tychonoff spaces. The topic is still a source of many difficult problems as well as a witness of remarkable progress in the last three years. Applications and interactions of this part of Cp-theory with Functional Analysis will be presented.

Another area of strong activity among the workers in Cp-theory is the study of preservation of topological properties by some equivalence of function spaces. We present the recent advances and problems on the matter.

Date received: March 7, 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 # caal-09.