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IV Iberoamerican Conference on Topology and its Applications (IV CITA)
April 18-21, 2001
University of Coimbra
Coimbra, Portugal

Organizers
Maria Manuel Clementino, Jorge Picado, Lurdes Sousa, Maria João Ferreira, Gonçalo Gutierres, Dirk Hofmann

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Compactness for subsets of R in the absence of the axiom of choice
by
Gonçalo Gutierres
University of Coimbra, Portugal

It is known that - assuming the axiom of choice - for a subset of R it is equivalent to be compact or sequentially compact. This fails to be true in the absence of the axiom of choice. In this talk we will discuss the set theoretic status of this equivalence as well as of other related implications.

Date received: March 23, 2001

Copyright © 2001 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 # cafw-70.