Higher homotopy invariants for spaces and maps

David Blanc, Mark W Johnson, James M Turner

Research output: Contribution to journalArticlepeer-review


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.
Original languageEnglish
Pages (from-to)2425-2488
Number of pages64
JournalAlgebraic and Geometric Topology
Issue number5
StatePublished - 2021

Bibliographical note

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© 2021, Mathematical Science Publishers. All rights reserved.

ASJC Scopus subject areas

  • Geometry and Topology


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