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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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A characterization for compactness
by
Miguel López De Luna
Universidad Autónoma Metropolitana, Iztapalapa

We prove a characterization for compactness: A Tychonoff space X is compact if and only if for any embedding into Y, with Y = \pi\alpha in A Y\alpha, every open U in Y containing X contains an open V such that X subset V subset U and V depends only on finitely many coordinates.

Date received: March 17, 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-15.