A problem with almost everywhere equality

• Autorzy: Piotr Niemiec
• Języki publikacji: EN

Abstrakty

EN

A topological space Y is said to have (AEEP) if the following condition is satisfied: Whenever (X,𝔐) 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 𝔐. It is shown that a metrizable space Y has (AEEP) iff the cardinality of Y is not greater than $2^{ℵ₀}$.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2012
• Tom: 104
• Numer: 1
• Strony: 105-108

Daty

wydano

2012

Twórcy

autor

Piotr Niemiec

• Institute of Mathematics, Jagiellonian University, Łojasiewicza 6, 30-348 Kraków, Poland

Identyfikatory

DOI

10.4064/ap104-1-8