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On some conditions which imply the continuity of almost all sections $$x\rightarrow f(t,x)$$. (English) Zbl 0817.26002
The author introduces some conditions analogous to the condition $$(a_ 0)$$ published by him previously. With the assumptions connected with these conditions, the author investigates the continuity and quasi- continuity of almost all sections of a function $$f: I\times X\to Y$$, where $$I$$ is an open interval, $$Y$$ a metric space and $$X$$ a topological space.
Reviewer: R.Pawlak (Łódź)
##### MSC:
 26B05 Continuity and differentiation questions 28A10 Real- or complex-valued set functions 54C08 Weak and generalized continuity
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