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On some star selection principles
by
Maddalena Bonanzinga
Department of Mathematics, University of Messina, Italy
Coauthors: F.Cammaroto (University of Messina, Italy);
Lj.Kocinac (University of Nis, Serbia);
M.Matveev (George Mason University, USA)
Let A and B be families of open covers of a topological space X. A selection principle is a particular procedures for building, from a sequences of covers from A, a cover from B. In [K] some selection principles defined by stars were introduced. 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.Kocinac, Star-Menger and related spaces, Publ. Math. Debrecen 55(1999), 421-431
Date received: March 10, 2006
Copyright © 2006 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 # cast-43.