Measurable function
id:
measurable-function-280-5572601
title:
Measurable function
text:
In mathematics, and in particular measure theory, a measurable function is a function between the underlying sets of two measurable spaces that preserves the structure of the spaces: the preimage of any measurable set is measurable. This is in direct analogy to the definition that a continuous function between topological spaces preserves the topological structure: the preimage of any open set is open. In real analysis, measurable functions are used in the definition of the Lebesgue integral. In
brand slug:
wiki
category slug:
encyclopedia
description:
Function for which the preimage of a measurable set is measurable
original url:
https://en.wikipedia.org/wiki/Measurable_function
date created:
date modified:
2023-12-07T00:07:28Z
main entity:
{"identifier":"Q516776","url":"https://www.wikidata.org/entity/Q516776"}
image:
fields total:
13
integrity:
14