Geodesic
On some conditions which imply the continuity of almost all sections $x \to f(t,x)$
Mathematica Bohemica, Tome 119 (1994) no. 1, pp. 49-56

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MR Zbl
Let $I$ be an open interval, $X$ a topological space and $Y$ a metric space. Some local conditions implying continuity and quasicontinuity of almost all sections $x\rightarrow f(t,x)$ of a function $f: I\times X\rightarrow Y$ are shown.
Let $I$ be an open interval, $X$ a topological space and $Y$ a metric space. Some local conditions implying continuity and quasicontinuity of almost all sections $x\rightarrow f(t,x)$ of a function $f: I\times X\rightarrow Y$ are shown.
DOI : 10.21136/MB.1994.126207
Classification : 26B05, 26B99, 28A10, 54C08
Keywords: Lebesgue measure; density; Baire property; category; continuity; quasi- continuity; sections; measure 
Grande, Zbigniew. On some conditions which imply the continuity of almost all sections $x \to f(t,x)$. Mathematica Bohemica, Tome 119 (1994) no. 1, pp. 49-56. doi: 10.21136/MB.1994.126207
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