H-space
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In mathematics, an H-space is a homotopy-theoretic version of a generalization of the notion of topological group, in which the axioms on associativity and inverses are removed.
In the Vinony graph
Vinony's link graph records 24 inbound references to H-space, and connects out to homotopy, mathematics and International Standard Book Number.
It sits within the topics Algebraic topology, Homotopy theory and Hopf algebras.
Vinony links it to 7 Wikipedia language editions.
Wikidata facts
- Subclass of
- topological space
- Named after
- Heinz Hopf
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- maintained by WikiProject
- WikiProject Mathematics
- studied by
- homotopy theory
Sources (1)
via Wikidata · CC0
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Encyclopedic overview
5 sectionsContents
- Definition
- Examples and properties
- See also
- Notes
- References
In mathematics, an H-space is a homotopy-theoretic version of a generalization of the notion of topological group, in which the axioms on associativity and inverses are removed.
==Definition== An H-space consists of a topological space , together with an element of and a continuous map , such that and the maps and are both homotopic to the identity map through maps sending to . This may be thought of as a pointed topological space together with a continuous multiplication for which the basepoint is an identity element up to basepoint-preserving homotopy.
Excerpted from Wikipedia’s “H-space” article, available under the CC BY-SA 4.0 licence.