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II Workshop on Coverings, Selections and Games in Topology
December 19-22, 2005
University of Lecce
Lecce, Italy

Organizers
(Organizing Committee) Cosimo Guido, Anna Frascella, Domenico Lenzi, Gabriella Zammillo. (Scientific Committee) Liljana Babinkostova, Cosimo Guido, Ljubisa Kocinac, Marion Scheepers, Boaz Tsaban

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Selection principles and convergence properties in hyperspaces
by
Giuseppe Di Maio
Dipartimento di Matematica, SUN, Caserta, Italia

We discuss relationships between selection principles of hyperspaces (e.g. Rothberger property, Menger property, countable fan tightness, Hurewicz-like selection principles, etc.) of hyperspaces over a space X and covering properties of X.

We also investigate relationships between closure type and convergence properties (e.g. filter-Frechet, strongly filter-Frechet, set Frechet, etc.) of hyperspaces over X and again covering properties of X. Some open questions are raised.

Date received: November 15, 2005

Copyright © 2005 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 # caqh-21.