Geodesic
Strongly homotopy-commutative monoids revisited
Documenta mathematica, Tome 5 (2000), pp. 613-624
Cet article a éte moissonné depuis la source EMS Press

Voir la notice de l'article

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.
DOI : 10.4171/dm/89
Classification : 55P35, 55P45, 55R35
Mots-clés : classifying space, monoid, H-spaces, strongly homotopy commutative, homotopy homomorphism 
@article{10_4171_dm_89,
     author = {Michael Brinkmeier},
     title = {Strongly homotopy-commutative monoids revisited},
     journal = {Documenta mathematica},
     pages = {613--624},
     year = {2000},
     volume = {5},
     doi = {10.4171/dm/89},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/89/}
}
TY  - JOUR
AU  - Michael Brinkmeier
TI  - Strongly homotopy-commutative monoids revisited
JO  - Documenta mathematica
PY  - 2000
SP  - 613
EP  - 624
VL  - 5
UR  - http://geodesic.mathdoc.fr/articles/10.4171/dm/89/
DO  - 10.4171/dm/89
ID  - 10_4171_dm_89
ER  - 
%0 Journal Article
%A Michael Brinkmeier
%T Strongly homotopy-commutative monoids revisited
%J Documenta mathematica
%D 2000
%P 613-624
%V 5
%U http://geodesic.mathdoc.fr/articles/10.4171/dm/89/
%R 10.4171/dm/89
%F 10_4171_dm_89
Michael Brinkmeier. Strongly homotopy-commutative monoids revisited. Documenta mathematica, Tome 5 (2000), pp. 613-624. doi: 10.4171/dm/89

Cité par Sources :