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Baireness of Ck(X) for locally compact X

✍ Scribed by Gary Gruenhage; Daniel K. Ma

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
591 KB
Volume
80
Category
Article
ISSN
0166-8641

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✦ Synopsis

It is an unsolved problem to characterize in terms of X when the space Ck(X) of continuous real-valued functions on X with the compact open topology is a Baire space. In this paper, we define and study a property called the Moving Off Property, and show that for a q-space X (e.g., for X locally compact or first-countable), X has the Moving Off Property if and only if Ck(X) is Bake.

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