Separating set
id:
separating-set-184-18029735
title:
Separating set
text:
In mathematics, a set S of functions with domain D is called a separating set for D and is said to separate the points of D if for any two distinct elements x and y of D, there exists a function f ∈ S such that f ≠ f. Separating sets can be used to formulate a version of the Stone–Weierstrass theorem for real-valued functions on a compact Hausdorff space X, with the topology of uniform convergence. It states that any subalgebra of this space of functions is dense if and only if it separates poin
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Separating_set
date created:
2007-10-29T16:58:54Z
date modified:
2024-09-07T13:47:45Z
main entity:
{"identifier":"Q7451799","url":"https://www.wikidata.org/entity/Q7451799"}
image:
fields total:
13
integrity:
14