Boundedness in topological spaces

Authors

  • Giuseppe Di Maio Dipartimento di Matematica, Seconda Università di Napoli, Via Vivaldi 43, 81100 Caserta, Italy Author
  • Ljubiša D. R. Kočinac Faculty of Sciences and Mathematics, University of Niš, Višegradska 33, 18000 Niš, Serbia Author

Keywords:

Boundedness, $\Bbb B$-cover, $\gamma_{\Bbb B}$-cover, selection principles, topological games, partition symbol, countable fan tightness, countable strong fan tightness, $T$-tightness, $C_b(X)$, hyperspaces

Subjects:

54A25, 54B20, 54C35, 54D20, 03E02, 91A44.

Abstract

We investigate abstract boundedness in a topological space anddemonstrate the importance of this notion in selection principlestheory. Some applications to function spaces and hyperspaces aregiven. This approach sheds more light on several results scatteredin the literature.

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Published

2008-04-15

Issue

Vol. 60 No. 2 (2008): Vol. 60, Issue 2

Section

Articles

License

Copyright (c) 2008 Authors retain copyright to their work.

Creative Commons License

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