| Title | A characterization of the Hahn property |
| Publication Type | Journal Article |
| Year of Publication | 2014 |
| Authors | Nesterenko, VV |
| Abbreviated Key Title | Dopov. Nac. akad. nauk Ukr. |
| DOI | 10.15407/dopovidi2014.02.032 |
| Issue | 2 |
| Section | Mathematics |
| Pagination | 32-37 |
| Date Published | 2/2014 |
| Language | Ukrainian |
| Abstract | 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 $f\colon X\times Y\to Z$, for which a set of points $x$ of $X$ such that $f$ is jointly continuous at each point of the set $\{x\}\times Y$ is residual in $X$, are found.
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| Keywords | Calbrix–Troallic theorem, characterization, Hahn property |
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