$C$-compact spaces

A. A. Gryzlov

Ural'sk State University

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?

UDC: 513.88

Received: 05.03.1971

 English version: Mathematical Notes, 1972, 12:6, 890–892

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