A survey of the theory of generalized metric spaces
Nagata, J.
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Displaying similar documents to “A generalized contradiction principle”
A survey of the theory of generalized metric spaces
On open mappings and certain spaces satisfying the first countability axiom
R. Heath (1965)
Fundamenta Mathematicae
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Refinements of Lebesgue covers
James Smith (1971)
Fundamenta Mathematicae
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On two classes of paracompact spaces
Zdeněk Frolík (1984)
Časopis pro pěstování matematiky
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The inverse image of a metric space under a biquotient compact mapping
C. M. Pareek (1972)
Compositio Mathematica
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Perfect pre-images of cofinally complete metric spaces
Adalberto García-Máynez, Salvador Romaguera (1999)
Commentationes Mathematicae Universitatis Carolinae
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We show that a Tychonoff space is the perfect pre-image of a cofinally complete metric space if and only if it is paracompact and cofinally Čech complete. Further properties of these spaces are discussed. In particular, cofinal Čech completeness is preserved both by perfect mappings and by continuous open mappings.