Geodesic
Extensions of symmetric cat-groups
Homology, homotopy, and applications, Tome 4 (2002) no. 1, pp. 103-162.

Voir la notice de l'article provenant de la source International Press of Boston

This paper is an attempt to study extensions of symmetric categorical groups from a structural point of view. Using in a systematic way bilimits in the 2-category of symmetric categorical groups, we develop a theory which closely follows the classical theory of abelian group extensions. The basic results are established for any proper class of extensions, and a cohomological classification is obtained for those extensions whose epi part has a categorical section.
DOI : 10.4310/HHA.2002.v4.n1.a8
Classification : 18D10, 18Gxx, 20L05
Keywords: symmetric categorical groups, extensions, bilimits, homological algebra 
@article{HHA_2002_4_1_a7,
     author = {D. Bourn and E. M. Vitale},
     title = {Extensions of symmetric cat-groups},
     journal = {Homology, homotopy, and applications},
     pages = {103--162},
     publisher = {mathdoc},
     volume = {4},
     number = {1},
     year = {2002},
     doi = {10.4310/HHA.2002.v4.n1.a8},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2002.v4.n1.a8/}
}
TY  - JOUR
AU  - D. Bourn
AU  - E. M. Vitale
TI  - Extensions of symmetric cat-groups
JO  - Homology, homotopy, and applications
PY  - 2002
SP  - 103
EP  - 162
VL  - 4
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4310/HHA.2002.v4.n1.a8/
DO  - 10.4310/HHA.2002.v4.n1.a8
LA  - en
ID  - HHA_2002_4_1_a7
ER  - 
%0 Journal Article
%A D. Bourn
%A E. M. Vitale
%T Extensions of symmetric cat-groups
%J Homology, homotopy, and applications
%D 2002
%P 103-162
%V 4
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4310/HHA.2002.v4.n1.a8/
%R 10.4310/HHA.2002.v4.n1.a8
%G en
%F HHA_2002_4_1_a7
D. Bourn; E. M. Vitale. Extensions of symmetric cat-groups. Homology, homotopy, and applications, Tome 4 (2002) no. 1, pp. 103-162. doi : 10.4310/HHA.2002.v4.n1.a8. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2002.v4.n1.a8/

Cité par Sources :