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A note on dominated spaces - MaRDI portal

A note on dominated spaces (Q1187284)

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scientific article; zbMATH DE number 39059
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English
A note on dominated spaces
scientific article; zbMATH DE number 39059

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    A note on dominated spaces (English)
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    28 June 1992
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    Correcting some results from the paper of \textit{S. Deo} and \textit{R. Krishan} [ibid. 47, 313-319 (1986; Zbl 0616.54023)] on relations between dominated or weak topologies and closed maps, the author proved that a space \(X\) is a closed continuous image of a disjoint topological union of compact spaces (or of a locally compact paracompact space) iff \(X\) has a hereditary closure preserving cover by compact sets. Several examples are given, illustrating the situation and the errors in the above quoted paper.
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    weak topology
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    quotient
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    closure preserving collection
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    closed map
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