A criterion on trivial homotopy
arXiv:1308.3765
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.
New version of the preprint "A criterion on vanishing cohomology"