Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

Article

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J. Korean Math. Soc. 2006; 43(3): 677-690

Printed May 1, 2006

Copyright © The Korean Mathematical Society.

A note on some closure type properties in function spaces

Vladimir Pavlovic

University of Nis

Abstract

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