Higher homotopy invariants for spaces and maps

Authors

David Blanc, University of Haifa
Mark W. Johnson, Penn State AltoonaFollow

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

Recommended Citation

Blanc, David and Johnson, Mark W., "Higher homotopy invariants for spaces and maps" (2021). University Faculty Publications and Creative Works. 102.
https://digitalcommons.calvin.edu/calvin_facultypubs/102