MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
Some covering properties for $\Psi$-spaces
Maddalena Bonanzinga and Mikhail Matveev

Abstract

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

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Keywords: (Strongly) star-Rothberger; (strongly) star-Menger; (strongly) star-Hurewicz; partition-Rothberger; partition-Menger; partition-Hurewicz; $\Psi$-space.

MSC: 54D20

Pages:  3--11     

Volume  61 ,  Issue  1 ,  2009