V.I. Malykhin
$C_p(I)$ is not subsequential

Comment.Math.Univ.Carolinae 40,4 (1999) 785-788.

Abstract:If a separable dense in itself metric space is not a union of countably many nowhere dense subsets, then its $C_p$-space is not subsequential.

Keywords: $C_p$-space, sequential, subsequential
AMS Subject Classification: Primary 54A35, 03E35; Secondary 54A25

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