Geodesic
Subspaces of sequential spaces
Matematičeskie zametki, Tome 64 (1998) no. 3, pp. 407-413 
V. I. Malykhin. Subspaces of sequential spaces. Matematičeskie zametki, Tome 64 (1998) no. 3, pp. 407-413. http://geodesic.mathdoc.fr/item/MZM_1998_64_3_a8/
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     title = {Subspaces of sequential spaces},
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     url = {http://geodesic.mathdoc.fr/item/MZM_1998_64_3_a8/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

It is proved that the space of continuous functions on the ordinary closed interval with the topology of pointwise convergence is not subsequential. In sequential spaces satisfying certain conditions, subspaces dense-in-themselves without convergent sequences are found; such subspaces are constructed in certain sequential compact spaces and semitopological groups.

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