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 |
Bibliographical note
Funding Information:Acknowledgements We wish to thank the referee for his or her detailed and pertinent comments. Blanc was supported in part by Israel Science Foundation Grant No. 770/16 and Turner by National Science Foundation grant DMS-1207746.
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© 2021, Mathematical Science Publishers. All rights reserved.
ASJC Scopus subject areas
- Geometry and Topology