Strongly homotopy-commutative monoids revisited (Q1589863)
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scientific article; zbMATH DE number 1542671
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Strongly homotopy-commutative monoids revisited |
scientific article; zbMATH DE number 1542671 |
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Strongly homotopy-commutative monoids revisited (English)
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12 December 2000
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Summary: We prove that the delooping, i.e., the classifying space, of a grouplike monoid is an \(H\)-space if and only if its multiplication is a homotopy homomorphism, extending and clarifying a result of Sugawara. Furthermore it is shown that the Moore loop space functor and the construction of the classifying space induce an adjunction of the according homotopy categories.
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\(H\)-spaces
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classifying space
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homotopy homomorphism
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grouplike monoid
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