TY - JOUR
T1 - Semistrict models of connected 3-types and Tamsamani's weak 3-groupoids
AU - Paoli, Simona
N1 - Funding Information:
I am grateful to Michael Batanin and Clemens Berger for helpful conversations. I also thank the members of the Australian Category Seminar for support and encouragement, and the referee for some remarks on literature sources. This work was supported by an Australian Research Council Postdoctoral Fellowship (project no. DP0558598).
PY - 2007/12
Y1 - 2007/12
N2 - Homotopy 3-types can be modelled algebraically by Tamsamani's weak 3-groupoids as well as, in the path-connected case, by cat2-groups. This paper gives a comparison between the two models in the path-connected case. This leads to two different semistrict algebraic models of connected 3-types using Tamsamani's model. Both are then related to Gray groupoids.
AB - Homotopy 3-types can be modelled algebraically by Tamsamani's weak 3-groupoids as well as, in the path-connected case, by cat2-groups. This paper gives a comparison between the two models in the path-connected case. This leads to two different semistrict algebraic models of connected 3-types using Tamsamani's model. Both are then related to Gray groupoids.
UR - http://www.scopus.com/inward/record.url?scp=34447618230&partnerID=8YFLogxK
U2 - 10.1016/j.jpaa.2007.04.006
DO - 10.1016/j.jpaa.2007.04.006
M3 - Article
AN - SCOPUS:34447618230
VL - 211
SP - 801
EP - 820
JO - Journal of Pure and Applied Algebra
JF - Journal of Pure and Applied Algebra
SN - 0022-4049
IS - 3
ER -