On the *topology and its application
Hiroshi Hashimoto (1976)
Fundamenta Mathematicae
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Displaying similar documents to “Somewhat continuous functions”
On the *topology and its application
Concerning a certain -algebra in compact Hausdorff spaces
Charles Stegall (1993)
Acta Universitatis Carolinae. Mathematica et Physica
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Tibor Neubrunn (1977)
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Functional characterizations of p-spaces
Ľubica Holá (2013)
Open Mathematics
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We show that a completely regular space Y is a p-space (a Čech-complete space, a locally compact space) if and only if given a dense subspace A of any topological space X and a continuous f: A → Y there are a p-embedded subset (resp. a G δ-subset, an open subset) M of X containing A and a quasicontinuous subcontinuous extension f*: M → Y of f continuous at every point of A. A result concerning a continuous extension to a residual set is also given.