Geodesic
$C_p(I)$ is not subsequential
Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999) no. 4, pp. 785-788.

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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.
Classification : 03E35, 54A20, 54A25, 54A35
Keywords: $C_p$-space; sequential; subsequential 
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Malykhin, V. I. $C_p(I)$ is not subsequential. Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999) no. 4, pp. 785-788. http://geodesic.mathdoc.fr/item/CMUC_1999__40_4_a14/