What does "h-space" mean?

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.

H-space

noun

noun ·Rare ·Advanced level

Definitions

Noun

1
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.

Etymology

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

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Data sourced from Wiktionary, WordNet, CMU, and other open linguistic databases. Updated March 2026.