Representation stability for homotopy automorphisms
Representation stability for homotopy automorphisms
We consider in parallel pointed homotopy automorphisms of iterated wedge sums of finite CW-complexes and boundary relative homotopy automorphisms of iterated connected sums of manifolds minus a disk.Under certain conditions on the spaces and manifolds, we prove that the rational homotopy groups of these homotopy automorphisms form finitely generated FI-modules, …