A NOTE ON SOME CLOSURE TYPE PROPERTIES IN FUNCTION SPACES

Title & Authors
A NOTE ON SOME CLOSURE TYPE PROPERTIES IN FUNCTION SPACES

Abstract
We show that a group of three closure properties including the selectively Pytkeev property coincide on $\small{C_k}$(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 Frechet;selectively Reznichenko;k-covers;infinite games;
Language
English
Cited by
1.
A selective bitopological version of the Reznichenko property in function spaces, Topology and its Applications, 2009, 156, 9, 1636
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