Abstract

We introduce new star selection principles defined by neighbourhoods and stars which are weaker versions of the of Menger, Rothberger and Hurewicz properties; in particular the properties introduced are between strong star versions and star versions of the corresponding properties defined in [12]. Some properties of these neighbourhood star selection principles are proved and some examples are given.

Keywords: Selection principles, (strongly) star-Rothberger; (strongly) star-Menger; (strongly) star-Hurewicz; neighbourhood star-Rothberger; neighbourhood star-Menger; neighbourhood star-Hurewicz; $\omega$-cover; $\gamma$-cover.

MSC: 54D20

Pages:  13--23     

Volume  61 ,  Issue  1 ,  2009