Geodesic
There is no universal separable Fréchet or sequential compact space
Commentationes Mathematicae Universitatis Carolinae, Tome 22 (1981) no. 1, pp. 161-168.

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Classification : 54A25, 54C05, 54D55, 54D99 
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     title = {There is no universal separable {Fr\'echet} or sequential compact space},
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Bashkirov, Aleksandr I. There is no universal separable Fréchet or sequential compact space. Commentationes Mathematicae Universitatis Carolinae, Tome 22 (1981) no. 1, pp. 161-168. http://geodesic.mathdoc.fr/item/CMUC_1981__22_1_a12/