Mayer-Vietoris sequences in stable derivators
Category Theory
2013-12-20 v2 Algebraic Geometry
Algebraic Topology
Abstract
We show that stable derivators, like stable model categories, admit Mayer-Vietoris sequences arising from cocartesian squares. Along the way we characterize homotopy exact squares, and give a detection result for colimiting diagrams in derivators. As an application, we show that a derivator is stable if and only if its suspension functor is an equivalence.
Keywords
Cite
@article{arxiv.1306.2072,
title = {Mayer-Vietoris sequences in stable derivators},
author = {Moritz Groth and Kate Ponto and Michael Shulman},
journal= {arXiv preprint arXiv:1306.2072},
year = {2013}
}
Comments
This paper is a revision of the first sections of arXiv:1212.3277. v2: final version, to appear in HHA. Main proof improved after suggestion by the referee