A criterion on trivial homotopy
Group Theory
2016-06-09 v7 Algebraic Topology
Abstract
In "Homotopy decomposition of classifying spaces via elementary Abelian subgroups", Stephan Jackowski and James McClure show, for functors admitting a Mackey complement over categories holding a direct product, a general result on vanishing cohomology. We develop a framework leading to a general result on trivial homotopy which partially generalizes Jackowski and McClure's result in two different directions.
Cite
@article{arxiv.1308.3765,
title = {A criterion on trivial homotopy},
author = {Lluis Puig},
journal= {arXiv preprint arXiv:1308.3765},
year = {2016}
}
Comments
New version of the preprint "A criterion on vanishing cohomology"