Hopf number

noun

An integer-valued topological invariant that quantifies the linking of preimages in continuous maps from the 3-sphere to the 2-sphere.

Similar
Hopf invariant
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Meanings

nounHopf number (plural Hopf numbers)

plural Hopf numbers

  1. mathematicsAn integer-valued topological invariant that quantifies the linking of preimages in continuous maps from the 3-sphere to the 2-sphere.

    Synonyms: Hopf invariant

Synonyms & antonyms

nounAn integer-valued topological invariant that quantifies the linking of preimages in continuous maps from the 3-sphere to the 2-sphere.

Similar
Hopf invariant
Also see
hopf invariant
Cite this entry
APA

Hopf number. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Hopf%20number

MLA

“Hopf number.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Hopf%20number. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Hopf number,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Hopf%20number.

Source: Hopf number on Wiktionary, CC BY-SA 4.0.