Geodesic
Subspaces of sequential spaces
Matematičeskie zametki, Tome 64 (1998) no. 3, pp. 407-413

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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. 
@article{MZM_1998_64_3_a8,
     author = {V. I. Malykhin},
     title = {Subspaces of sequential spaces},
     journal = {Matemati\v{c}eskie zametki},
     pages = {407--413},
     publisher = {mathdoc},
     volume = {64},
     number = {3},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1998_64_3_a8/}
}
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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/