Document Type

Article

Publication Title

Algebraic and Geometric Topology

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 : X → Y which induce the same morphism f∗ : π∗X → π∗Y.

First Page

1

Last Page

51

DOI

https://doi.org/10.2140/agt.2021.21.2425

Publication Date

1-1-2021

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