H-space

noun

A topological space X (generally assumed to be connected) together with a continuous map μ : X × X → X with an identity element e such that μ(e, x) = μ(x, e) = x for all x in X.

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Meanings

nounH-space (plural H-spaces)

plural H-spaces

  1. mathematicsA topological space X (generally assumed to be connected) together with a continuous map μ : X × X → X with an identity element e such that μ(e, x) = μ(x, e) = x for all x in X.

Origin

The H was suggested by Jean-Pierre Serre in recognition of the influence exerted on the subject by Heinz Hopf.

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Cite this entry
APA

H-space. (n.d.). In WatkinsX Dictionary. Retrieved November 2, 2026, from https://dictionary.watkinsx.com/word/H-space

MLA

“H-space.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/H-space. Accessed November 2, 2026.

Chicago

WatkinsX Dictionary, s.v. “H-space,” accessed November 2, 2026, https://dictionary.watkinsx.com/word/H-space.

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