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H-space
Can upgrade to an E_infty space.
- Slogan: a group up to homotopy
Examples
- \({\mathbf{B}}{\operatorname{U}}\times {\mathbf{Z}}\), see topological K theory.
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Can upgrade to an E_infty space.
More or less the same thing as a \(\Gamma{\hbox{-}}\)space a la Segal. Can produce these from an H-space