Michael Granado, Gary Gruenhage
Baireness of $C_k(X)$ for ordered $X$

Comment.Math.Univ.Carolinae 47,1 (2006) 103-111.

Abstract: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.

Keywords: Baire, linearly ordered space, compact-open topology, Choquet, Moving Off Property
AMS Subject Classification: Primary 54F05; Secondary 54C35, 54E52

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