Helly's selection theorem
id:
helly-s-selection-theorem-321-10944746
title:
Helly's selection theorem
text:
In mathematics, Helly's selection theorem states that a uniformly bounded sequence of monotone real functions admits a convergent subsequence.
In other words, it is a sequential compactness theorem for the space of uniformly bounded monotone functions.
It is named for the Austrian mathematician Eduard Helly.
A more general version of the theorem asserts compactness of the space BVloc of functions locally of bounded total variation that are uniformly bounded at a point. The theorem has applicatio
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wiki
category slug:
encyclopedia
description:
On convergent subsequences of functions that are locally of bounded total variation
original url:
https://en.wikipedia.org/wiki/Helly%27s_selection_theorem
date created:
date modified:
2024-04-09T18:26:51Z
main entity:
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