TY - JOUR
T1 - A cartesian presentation of weak n-categories
AU - Rezk, Charles
PY - 2010
Y1 - 2010
N2 - We propose a notion of weak (n+k;n)-category, which we call (n+k,n)-Θ-spaces. The (n+k,n)-Θ-spaces are precisely the fibrant objects of a certain model category structure on the category of presheaves of simplicial sets on Joyal's category Θn. This notion is a generalization of that of complete Segal spaces (which are precisely the (∞, 1)-Θ-spaces). Our main result is that the above model category is cartesian.
AB - We propose a notion of weak (n+k;n)-category, which we call (n+k,n)-Θ-spaces. The (n+k,n)-Θ-spaces are precisely the fibrant objects of a certain model category structure on the category of presheaves of simplicial sets on Joyal's category Θn. This notion is a generalization of that of complete Segal spaces (which are precisely the (∞, 1)-Θ-spaces). Our main result is that the above model category is cartesian.
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U2 - 10.2140/gt.2010.14.521
DO - 10.2140/gt.2010.14.521
M3 - Article
AN - SCOPUS:77953693060
SN - 1364-0380
VL - 14
SP - 521
EP - 571
JO - Geometry and Topology
JF - Geometry and Topology
IS - 1
ER -