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In mathematics, an H-space[1] is a homotopy-theoretic version of a generalization of the notion of topological group, in which the axioms on associativity and inverses are removed.
- ^ The H in H-space was suggested by Jean-Pierre Serre in recognition of the influence exerted on the subject by Heinz Hopf (see J. R. Hubbuck. "A Short History of H-spaces", History of topology, 1999, pages 747–755).