Lefschetz fixed-point theorem

proper noun

A formula that counts the fixed points of a continuous mapping from a compact topological space X to itself by means of traces of the induced mappings on the homology groups of X.

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Meanings

proper nounthe Lefschetz fixed-point theorem
  1. mathematicsA formula that counts the fixed points of a continuous mapping from a compact topological space X to itself by means of traces of the induced mappings on the homology groups of X.

Origin

Named after Solomon Lefschetz, who first stated it in 1926.

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Cite this entry
APA

Lefschetz fixed-point theorem. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/Lefschetz%20fixed-point%20theorem

MLA

“Lefschetz fixed-point theorem.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Lefschetz%20fixed-point%20theorem. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “Lefschetz fixed-point theorem,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/Lefschetz%20fixed-point%20theorem.

Source: Lefschetz fixed-point theorem on Wiktionary, CC BY-SA 4.0.