1. Higher homotopy invariants for spaces and maps
- Author
-
Blanc, David, Johnson, Mark W., and Turner, James M.
- Subjects
Mathematics - Algebraic Topology ,55Q35 (Primary), 55P15, 18G30, 55U35 - Abstract
For a pointed topological space $X$, we use an inductive construction of a simplicial resolution of $X$ by wedges of spheres to construct a "higher homotopy structure" for $X$ (in terms of chain complexes of spaces). This structure is then used to define a collection of higher homotopy invariants which suffice to recover $X$ up to weak equivalence. It can also be used to distinguish between different maps $f$ from $X$ to $Y$ which induce the same morphism on homotopy groups $f_*$ from $\pi_* X$ to $\pi_* Y$., Comment: 51 pages
- Published
- 2019
- Full Text
- View/download PDF