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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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On weaker forms of Menger, Rothberger and Hurewicz properties.
by
Maddalena Bonanzinga
Department of Mathematics - University of Messina - Italy
Coauthors: F.Cammaroro, Lj.D.R.Kocinac, M.V.Matveev

We introduce new star selection principles defined by neighbourhoods which are weaker of Menger, Rothberger and Hurewicz properties; in particular the properties introduced are between strongly star-version and star-version of the corresponding properties defined in [K]. Some properties of these neighbourhood star selection principles are proved and some examples are given.

[K] Lj.D.R.Kocinac, Star-Menger and related spaces, Publ. Math. Debrecen 55(1999), 421-431.

Date received: October 29, 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-13.