Spaces of continuous characteristic functions

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Spaces of continuous characteristic functions. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 47 (2006), issue 4, pp. 599-608

MSC: 54C35, 54D20, 54F05 | MR 2337414 | Zbl 1150.54017

Keywords:
$C_p(X, Y)$; subspace of ordinals; countable extent; Lindel" of space

Summary:
We show that if $X$ is first-countable, of countable extent, and a subspace of some ordinal, then $C_p(X,2)$ is Lindelöf.

References:

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