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Baireness of $C_{k} (X)$ for ordered $X$

Michael Granado; Gary Gruenhage — 2006

Commentationes Mathematicae Universitatis Carolinae

We show that if $X$ is a subspace of a linearly ordered space, then $C_{k} (X)$ is a Baire space if and only if $C_{k} (X)$ is Choquet iff $X$ has the Moving Off Property.

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Baireness of C k ( X ) for ordered X

Baireness of $C_{k} (X)$ for ordered $X$