Geodesic
Profinite homotopy theory
Documenta mathematica, Tome 13 (2008), pp. 585-612
Cet article a éte moissonné depuis la source EMS Press

Voir la notice de l'article

We construct a model structure on simplicial profinite sets such that the homotopy groups carry a natural profinite structure. This yields a rigid profinite completion functor for spaces and pro-spaces. One motivation is the étale homotopy theory of schemes in which higher profinite étale homotopy groups fit well with the étale fundamental group which is always profinite. We show that the profinite étale topological realization functor is a good object in several respects.
DOI : 10.4171/dm/255
Classification : 14F35, 55P60, 55Q70
Mots-clés : profinite completion, profinite homotopy groups, étale homotopy type of schemes 
@article{10_4171_dm_255,
     author = {Gereon Quick},
     title = {Profinite homotopy theory},
     journal = {Documenta mathematica},
     pages = {585--612},
     year = {2008},
     volume = {13},
     doi = {10.4171/dm/255},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/255/}
}
TY  - JOUR
AU  - Gereon Quick
TI  - Profinite homotopy theory
JO  - Documenta mathematica
PY  - 2008
SP  - 585
EP  - 612
VL  - 13
UR  - http://geodesic.mathdoc.fr/articles/10.4171/dm/255/
DO  - 10.4171/dm/255
ID  - 10_4171_dm_255
ER  - 
%0 Journal Article
%A Gereon Quick
%T Profinite homotopy theory
%J Documenta mathematica
%D 2008
%P 585-612
%V 13
%U http://geodesic.mathdoc.fr/articles/10.4171/dm/255/
%R 10.4171/dm/255
%F 10_4171_dm_255
Gereon Quick. Profinite homotopy theory. Documenta mathematica, Tome 13 (2008), pp. 585-612. doi: 10.4171/dm/255

Cité par Sources :