Brinkmeier, Michael

Strongly homotopy-commutative monoids revisited

Doc. Math., J. DMV 5, 613-624 (2000)


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.

Mathematics Subject Classification

55P45, 55P35, 55R35


H-spaces, classifying space, monoid, strongly homotopy commutative, homotopy homomorphism