A Cellular Nerve for Higher Categories (2002)
by
Clemens Berger
| Citations: | 16 - 1 self |
BibTeX
@MISC{Berger02acellular,
author = {Clemens Berger},
title = {A Cellular Nerve for Higher Categories},
year = {2002}
}
OpenURL
Abstract
... categories. The associated cellular nerve of an o-category extends the well-known simplicial nerve of a small category. Cellular sets (like simplicial sets) carry a closed model structure in Quillen’s sense with weak equivalences induced by a geometric realisation functor. More generally, there exists a dense subcategory YA of the category of A-algebras for each o-operad A in Batanin’s sense. Whenever A is contractible, the resulting homotopy category of A-algebras (i.e. weak o-categories) is







