Higher cohomology operations and R-completion

David Blanc, Debasis Sen

Research output: Contribution to journalArticlepeer-review


Let R be either Fp or a field of characteristic 0. For each R-good topological space Y, we define a collection of higher cohomology operations which, together with the cohomology algebra H * (Y;R), suffice to determine Y up to R-completion. We also provide a similar collection of higher cohomology operations which determine when two maps f0,f1: Z→Y between R-good spaces (inducing the same algebraic homomorphism H * (Y;R)→H * (Z;R)) are R-equivalent.

Original languageEnglish
Pages (from-to)247-312
Number of pages66
JournalAlgebraic and Geometric Topology
Issue number1
StatePublished - 10 Jan 2018

Bibliographical note

Publisher Copyright:
© 2018, Mathematical Sciences Publishers. All rights reserved.


  • Cosimplicial resolution
  • Higher cohomology operation
  • Toda bracket

ASJC Scopus subject areas

  • Geometry and Topology


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