Helly's selection theorem

proper noun

A theorem stating that a sequence of functions that is locally of bounded total variation and uniformly bounded at a point has a convergent subsequence.

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Meanings

proper noun
  1. mathematicsA theorem stating that a sequence of functions that is locally of bounded total variation and uniformly bounded at a point has a convergent subsequence.

Origin

Named after Eduard Helly.

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Cite this entry
APA

Helly's selection theorem. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Helly's%20selection%20theorem

MLA

“Helly's selection theorem.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Helly's%20selection%20theorem. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Helly's selection theorem,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Helly's%20selection%20theorem.

Source: Helly's selection theorem on Wiktionary, CC BY-SA 4.0.