Eilenberg-MacLane space

noun

A topological space that has precisely one nontrivial homotopy group.

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Meanings

nounEilenberg-MacLane space (plural Eilenberg-MacLane spaces)

plural Eilenberg-MacLane spaces

  1. mathematicsA topological space that has precisely one nontrivial homotopy group.

Origin

After Samuel Eilenberg and Saunders Mac Lane (or MacLane), who invented the concept.

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Cite this entry
APA

Eilenberg-MacLane space. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Eilenberg-MacLane%20space

MLA

“Eilenberg-MacLane space.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Eilenberg-MacLane%20space. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Eilenberg-MacLane space,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Eilenberg-MacLane%20space.

Source: Eilenberg-MacLane space on Wiktionary, CC BY-SA 4.0.