Título inglés |
Spaces associated to quadratic endofunctors of the category of groups. |
Título español |
Espacios asociados a endofunctores cuadráticos de la categoría de grupos. |
Autor/es |
Baues, Hans-Joachim ; Pirashvili, Teimuraz |
Organización |
Max-Planck-Inst. Math., Bonn, Alemania;Razmadze Math. Inst., Tiflis, Georgia |
Revista |
0213-8743 |
Publicación |
2005, 20 (2): 99-136, 16 Ref. |
Tipo de documento |
articulo |
Idioma |
Inglés |
Resumen inglés |
Square groups are gadgets classifying quadratic endofunctors of the category of groups. Applying such a functor to the Kan simplicial loop group of the 2-dimensional sphere, one obtains a one-connected three-type. We consider the problem of characterization of those three-types X which can be obtained in this way. We solve this problem in some cases, including the case when π2(X) is a finitely generated abelian group. The corresponding stable problem is solved completely. |
Código MathReviews |
MR2195197 |
Código Z-Math |
Zbl 1097.55014 |
Acceso al artículo completo |