A characterization of the Hahn property
DOI:
https://doi.org/10.15407/dopovidi2014.02.032Keywords:
Calbrix–Troallic theorem, characterization, Hahn propertyAbstract
We prove a new generalization of the Calbrix–Troallic theorem. For a Baire space X, a metrizable compact Y, and a metric space Z, the necessary and sufficient conditions for a mapping f:X×Y→Z, for which a set of points x of X such that f is jointly continuous at each point of the set {x}×Y is residual in X, are found.
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