Inserting measurable functions precisely

Javier Gutiérrez García; Tomasz Kubiak

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Displaying similar documents to “Inserting measurable functions precisely”

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Anna Kucia, Andrzej Nowak (1995)

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Let $D \subset T \times X$ , where $T$ is a measurable space, and $X$ a topological space. We study inclusions between three classes of extended real-valued functions on $D$ which are upper semicontinuous in $x$ and satisfy some measurability conditions.

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Jozef Dravecký, Ivan Kupka, Miroslav Pakanec (1992)

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Piotr Niemiec (2012)

Annales Polonici Mathematici

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A topological space Y is said to have (AEEP) if the following condition is satisfied: Whenever (X,) is a measurable space and f,g: X → Y are two measurable functions, then the set Δ(f,g) = x ∈ X: f(x) = g(x) is a member of . It is shown that a metrizable space Y has (AEEP) iff the cardinality of Y is not greater than $2^{ℵ ₀}$ .

Measurability of Functions of Two Variables

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