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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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Some compactness properties in hyperspaces: a new approach
by
E. Meccariello
Università del Sannio, Benevento, Italy
Coauthors: G. Di Maio (Seconda Università di Napoli, Caserta, Italy), L. Holá (Slovak Academy of Sciences, Bratislava, Slovakia)

We study properties related to first countability and countable compactness for proximal or uniformizable \Delta- hit-and-miss hyperspace topologies. We present every such a topology as a proximal one. Thus, we can use the notion of Smirnov compactification: a useful tool to investigate strongly countable compactness in hyperspace theory.

Date received: February 24, 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-27.