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 W X ! Y
which induce the same morphism f W X ! Y.
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 W X ! Y
which induce the same morphism f W X ! Y.
| Original language | English |
|---|---|
| Pages (from-to) | 2425-2488 |
| Number of pages | 64 |
| Journal | Algebraic and Geometric Topology |
| Volume | 21 |
| Issue number | 5 |
| DOIs | |
| State | Published - 2021 |
All Science Journal Classification (ASJC) codes
- Geometry and Topology