Some covering properties for $\Psi$-spaces

Authors

  • Maddalena Bonanzinga Dipartimento di Matematica, Università di Messina, 98166 Messina, Italia Author
  • Mikhail Matveev Department of Mathematical Sciences, George Mason University, 4400 University Drive, Fairfax, Virginia, 22030 USA Author

Keywords:

(Strongly) star-Rothberger, (strongly) star-Menger, (strongly) star-Hurewicz, partition-Rothberger, partition-Menger, partition-Hurewicz, $\Psi$-space

Subjects:

54D20

Abstract

Menger, Hurewicz and Rothberger properties restricted to partitionsinto clopen sets and to covers by stars are considered. A questionis discussed when a $\Psi$-space satisfies some of these properties.

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Published

2009-01-15