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- W157142013 abstract "G.Ying and C.Good (2001) described that Lutzer's example (1971) asserts that neither Nagata spaces nor wN-spaces are necessarily preserved under quasi-perfect maps. We introduce some classes of spaces which are contained in the class of wN-spaces and show that these classes are invariant under quasi-perfect maps or closed almost-open maps, but not preserved by closed map nor open finite-to-one maps. We also show that in the realm of paracompact spaces, these new classes coincide with the class of M-spaces in the sense of Morita, and study conditions for metrizability of these classes." @default.
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- W157142013 date "2006-01-01" @default.
- W157142013 modified "2023-09-24" @default.
- W157142013 title "Nagata Spaces and wN-spaces which are preserved by Quasi-Perfect Maps" @default.
- W157142013 hasPublicationYear "2006" @default.
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