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Korean Mathematical Society JKMS

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J. Korean Math. Soc. 2006; 43(5): 1099-1114

Printed September 1, 2006

Copyright © The Korean Mathematical Society.

Selection principles and hyperspace topologies in closure spaces

Mila Mrv sevic and Milena Jelic

University of Belgrade, University of Belgrade

Abstract

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Relations between closure-type properties of hyperspaces over a \v Cech closure space $(X,u)$ and covering properties of $(X,u)$ are investigated.

Keywords: Cech closure space, hyperspace, $\Delta ^+$-topology, ${\bf Z}^+$-topology, upper Fell topology, upper Vietoris topology, selection principles, $\Delta$-cover, $\omega$-cover, $\kappa$-cover, Rezni-chenko property, Pytkeev property, Hurewicz property, gro

MSC numbers: 54A05, 54B20, 54A25, 54D20

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