A problem with almost everywhere equality
Piotr Niemiec
Annales Polonici Mathematici, Tome 105 (2012), p. 105-108 / Harvested from The Polish Digital Mathematics Library
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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 2ℵ₀.

Publié le : 2012-01-01
EUDML-ID : urn:eudml:doc:286240 
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Piotr Niemiec. A problem with almost everywhere equality. Annales Polonici Mathematici, Tome 105 (2012) pp. 105-108. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap104-1-8/