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.
@article{119131,
author = {Viacheslav I. Malykhin},
title = {$C\_p(I)$ is not subsequential},
journal = {Commentationes Mathematicae Universitatis Carolinae},
volume = {40},
year = {1999},
pages = {785-788},
zbl = {1009.54033},
mrnumber = {1756553},
language = {en},
url = {http://dml.mathdoc.fr/item/119131}
}
Malykhin, Viacheslav I. $C_p(I)$ is not subsequential. Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999) pp. 785-788. http://gdmltest.u-ga.fr/item/119131/
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