Baireness of $C_k(X)$ for ordered $X$
Commentationes Mathematicae Universitatis Carolinae, Tome 47 (2006) no. 1, pp. 103-111
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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.
Classification :
54C35, 54E52, 54F05
Keywords: Baire; linearly ordered space; compact-open topology; Choquet; Moving Off Property
Keywords: Baire; linearly ordered space; compact-open topology; Choquet; Moving Off Property
@article{CMUC_2006__47_1_a8,
author = {Granado, Michael and Gruenhage, Gary},
title = {Baireness of $C_k(X)$ for ordered $X$},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {103--111},
publisher = {mathdoc},
volume = {47},
number = {1},
year = {2006},
mrnumber = {2223970},
zbl = {1150.54032},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_2006__47_1_a8/}
}
TY - JOUR AU - Granado, Michael AU - Gruenhage, Gary TI - Baireness of $C_k(X)$ for ordered $X$ JO - Commentationes Mathematicae Universitatis Carolinae PY - 2006 SP - 103 EP - 111 VL - 47 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CMUC_2006__47_1_a8/ LA - en ID - CMUC_2006__47_1_a8 ER -
Granado, Michael; Gruenhage, Gary. Baireness of $C_k(X)$ for ordered $X$. Commentationes Mathematicae Universitatis Carolinae, Tome 47 (2006) no. 1, pp. 103-111. http://geodesic.mathdoc.fr/item/CMUC_2006__47_1_a8/