Field of sets
id:
field-of-sets-244-15473110
title:
Field of sets
text:
In mathematics, a field of sets is a mathematical structure consisting of a pair consisting of a set X and a family F of subsets of X called an algebra over X that contains the empty set as an element, and is closed under the operations of taking complements in X , finite unions, and finite intersections. Fields of sets should not be confused with fields in ring theory nor with fields in physics. Similarly the term "algebra over X " is used in the sense of a Boolean algebra and should not be con
brand slug:
wiki
category slug:
encyclopedia
description:
Algebraic concept in measure theory, also referred to as an algebra of sets
original url:
https://en.wikipedia.org/wiki/Field_of_sets
date created:
date modified:
2023-10-30T13:27:27Z
main entity:
{"identifier":"Q246506","url":"https://www.wikidata.org/entity/Q246506"}
image:
fields total:
13
integrity:
14