J. Korean Math. Soc. 2006; 43(3): 677-690
Printed May 1, 2006
Copyright © The Korean Mathematical Society.
Vladimir Pavlovic
University of Nis
We show that a group of three closure properties including the selectively Pytkeev property coincide on $C_k(X)$ for a locally compact $X$. We also introduce a new game characterization of these properties for such spaces.
Keywords: compact-open topology, selection principles, selectively Pytkeev, strictly Fr\'echet, selectively Reznichenko, $k$-covers, infinite games
MSC numbers: 54C35, 91A44
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