Raushan Z. Buzyakova
Spaces of continuous characteristic functions

Comment.Math.Univ.Carolin. 47,4 (2006) 599-608.

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

Keywords: $C_p(X,Y)$, subspace of ordinals, countable extent, Lindel\" of space
AMS Subject Classification: 54C35, 54D20, 54F05

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