Geodesic
Simple omega-categories and chain complexes
Homology, homotopy, and applications, Tome 9 (2007) no. 1, pp. 451-465.

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

The category of strict omega-categories has an important full subcategory whose objects are the simple omega-categories freely generated by planar trees or by globular cardinals. We give a simple description of this subcategory in terms of chain complexes, and we give a similar description of the opposite category, the category of finite discs, in terms of cochain complexes. Berger has shown that the category of simple omega-categories has a filtration by iterated wreath products of the simplex category. We generalise his result by considering wreath products of categories of chain complexes over the simplex category.
DOI : 10.4310/HHA.2007.v9.n1.a18
Classification : 18D05
Keywords: simple omega-category, augmented directed complex, category of finite discs, globular cardinal, planar tree, level-tree, simple globular set, simple omega-graph, continuously graded ordered set, Batanin cell 
@article{HHA_2007_9_1_a18,
     author = {Richard Steiner},
     title = {Simple omega-categories and chain complexes},
     journal = {Homology, homotopy, and applications},
     pages = {451--465},
     publisher = {mathdoc},
     volume = {9},
     number = {1},
     year = {2007},
     doi = {10.4310/HHA.2007.v9.n1.a18},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2007.v9.n1.a18/}
}
TY  - JOUR
AU  - Richard Steiner
TI  - Simple omega-categories and chain complexes
JO  - Homology, homotopy, and applications
PY  - 2007
SP  - 451
EP  - 465
VL  - 9
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4310/HHA.2007.v9.n1.a18/
DO  - 10.4310/HHA.2007.v9.n1.a18
LA  - en
ID  - HHA_2007_9_1_a18
ER  - 
%0 Journal Article
%A Richard Steiner
%T Simple omega-categories and chain complexes
%J Homology, homotopy, and applications
%D 2007
%P 451-465
%V 9
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4310/HHA.2007.v9.n1.a18/
%R 10.4310/HHA.2007.v9.n1.a18
%G en
%F HHA_2007_9_1_a18
Richard Steiner. Simple omega-categories and chain complexes. Homology, homotopy, and applications, Tome 9 (2007) no. 1, pp. 451-465. doi : 10.4310/HHA.2007.v9.n1.a18. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2007.v9.n1.a18/

Cité par Sources :