On weaker forms of Menger, Rothberger and Hurewicz properties

Authors

  • M. Bonanzinga Dipartimento di Matematica, Università di Messina, 98166 Messina, Italia Author
  • F. Cammaroto Dipartimento di Matematica, Università di Messina, 98166 Messina, Italia Author
  • Lj. D. R. Kočinac Faculty of Sciences and Mathematics, University of Niš, 18000 Niš, Serbia Author
  • M. V. Matveev Department of Mathematical Sciences, George Mason University, 4400 University Drive, Fairfax, Virginia, 22030 USA Author

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

Subjects:

54D20

Abstract

We introduce new star selection principles defined by neighbourhoodsand stars which are weaker versions of the of Menger, Rothberger andHurewicz properties; in particular the properties introduced arebetween strong star versions and star versions of the correspondingproperties defined in [12]. Some properties of theseneighbourhood star selection principles are proved and some examplesare given.

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Published

2009-01-15

Issue

Vol. 61 No. 1 (2009): Vol. 61, Issue 1

Section

Articles

License

Copyright (c) 2009 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.