Geodesic
The cardinality of an $F$-space
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (1982), pp. 51-52
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The cardinality of an $F$-space (that is, a linear topological space with topology determined by a complete invariant metric) is equal to the countable power of the density character. 
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     title = {The cardinality of an $F$-space},
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S. V. Kurochkin. The cardinality of an $F$-space. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (1982), pp. 51-52. http://geodesic.mathdoc.fr/item/VMUMM_1982_5_a13/