Bolzano-Weierstrass property

proper noun

The property held by some topological spaces that if a subset of such a space has an infinite quantity of points then the subset has at least one accumulation point.

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Meanings

proper nounthe Bolzano-Weierstrass property
  1. mathematicsThe property held by some topological spaces that if a subset of such a space has an infinite quantity of points then the subset has at least one accumulation point.

Origin

Named after Bernard Bolzano (1781–1848), a Bohemian mathematician, logician, philosopher, theologian and Catholic priest of Italian descent, and Karl Weierstrass (1815–1897), a German mathematician often cited as the "father of modern analysis".

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Cite this entry
APA

Bolzano-Weierstrass property. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/Bolzano-Weierstrass%20property

MLA

“Bolzano-Weierstrass property.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Bolzano-Weierstrass%20property. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “Bolzano-Weierstrass property,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/Bolzano-Weierstrass%20property.

Source: Bolzano-Weierstrass property on Wiktionary, CC BY-SA 4.0.