On the notion of geometric realization
Category Theory
2013-05-27 v4 Algebraic Topology
Abstract
We explain why geometric realization commutes with Cartesian products and why the geometric realization of a simplicial set (resp. cyclic set) is equipped with an action of the group of orientation preserving homeomorphisms of the segment [0,1] (resp. the circle). Our approach is very similar to that of A. Besser and D. Grayson.
Cite
@article{arxiv.math/0304064,
title = {On the notion of geometric realization},
author = {Vladimir Drinfeld},
journal= {arXiv preprint arXiv:math/0304064},
year = {2013}
}
Comments
Corrected a mistake. (The mistake is described in the "Warning" on p.9.)