Kuratowski–Ulam theorem
id:
kuratowski-ulam-theorem-271-7845118
title:
Kuratowski–Ulam theorem
text:
In mathematics, the Kuratowski–Ulam theorem, introduced by Kazimierz Kuratowski and Stanislaw Ulam (1932), called also the Fubini theorem for category, is an analog of Fubini's theorem for arbitrary second countable Baire spaces. Let X and Y be second countable Baire spaces, and let A ⊂ X × Y . Then the following are equivalent if A has the Baire property: A is meager.
The set { x ∈ X : A x is meager in Y } is comeager in X, where A x = π Y [ A ∩ { x } × Y ] , where π Y is the projection onto
brand slug:
wiki
category slug:
encyclopedia
description:
Analog of Fubini's theorem for arbitrary second countable Baire spaces
original url:
https://en.wikipedia.org/wiki/Kuratowski%E2%80%93Ulam_theorem
date created:
date modified:
2021-09-20T05:00:10Z
main entity:
{"identifier":"Q19597641","url":"https://www.wikidata.org/entity/Q19597641"}
image:
fields total:
13
integrity:
14