Geodesic
$C$-compact spaces
Matematičeskie zametki, Tome 12 (1972) no. 6, pp. 755-760 
A. A. Gryzlov. $C$-compact spaces. Matematičeskie zametki, Tome 12 (1972) no. 6, pp. 755-760. http://geodesic.mathdoc.fr/item/MZM_1972_12_6_a12/
@article{MZM_1972_12_6_a12,
     author = {A. A. Gryzlov},
     title = {$C$-compact spaces},
     journal = {Matemati\v{c}eskie zametki},
     pages = {755--760},
     year = {1972},
     volume = {12},
     number = {6},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1972_12_6_a12/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

We consider the properties of $C$-compact spaces. A negative answer is given to the questions posed by Viglino (RZhMat., 1970, 10 A 302): 1) Is every $C$-compact space a space of the second category? 2) Is the product of $C$ compacta a $C$ compactum? 3) Is a space, every continuous mapping of which is closed, a $C$ compactum?