Abstract
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?
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Literature cited
C. Viglino, “C-compact spaces,” Duke Math. J.,36, No. 4, 761–764 (1969).
N. V. Velichko, “H closed topological spaces,” Matem. Sb.,70 (112), No. 1, 98–112 (1966).
R. F. Dickman Jr., and A. Zame, “Functionally compact spaces,” Pacific Math. J.,31, No. 2, 303–311 (1969).
N. V. Velichko, “The continuation of mappings of topological spaces,” Dokl. Akad. Nauk SSSR,177, No. 6, 1255–1258 (1967).
Author information
Authors and Affiliations
Additional information
Translated from Matematicheskie Zametki, Vol. 12, No. 6, pp. 755–760, December, 1972.
Rights and permissions
About this article
Cite this article
Gryzlov, A.A. C-compact spaces. Mathematical Notes of the Academy of Sciences of the USSR 12, 890–892 (1972). https://doi.org/10.1007/BF01156051
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01156051