Strongly homotopy-commutative monoids revisited
type: Item
instance of: scholarly article
title: Strongly homotopy-commutative monoids revisited
zbMATH Open document ID: 0992.55007
author: Michael Brinkmeier
published in: Documenta Mathematica
publication date: 2000-12-12T00:00:00Z
full work available at URL: https://eudml.org/doc/121993
full work available at URL: 18.html
review text: 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 ID: 55P45
Mathematics Subject Classification ID: 55R35
Mathematics Subject Classification ID: 55P35
zbMATH DE Number: 1542671
zbMATH Keywords: \(H\)-spaces
zbMATH Keywords: classifying space
zbMATH Keywords: homotopy homomorphism
zbMATH Keywords: grouplike monoid
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1542671