Name: C-compact spaces
Creator: A. A. Gryzlov
Keywords: Compactness, Counterexamples in general topology, Special maps on topological spaces (open, closed, perfect, etc.), ``\(P\)-minimal'' and ``\(P\)-closed'' spaces, 0101 mathematics, 01 natural sciences

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1972 English Publisher:Springer Science and Business Media LLCJournal:Mathematical Notes of the Academy of Sciences of the USSR, volume 12, pages 890-892 (issn: 0001-4346, eissn: 1573-8876,

Authors: A. A. Gryzlov;

doi: 10.1007/bf01156051

C-compact spaces

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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?

Keywords

Compactness, Counterexamples in general topology, Special maps on topological spaces (open, closed, perfect, etc.), ``\(P\)-minimal'' and ``\(P\)-closed'' spaces

14 Research products, page 1 of 2

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