Higher homotopy operations and cohomology

David Blanc, Mark W. Johnson, James M. Turner

Research output: Contribution to journalArticlepeer-review


We explain how higher homotopy operations, defined topologically, may be identified under mild assumptions with (the last of) the Dwyer-Kan-Smith cohomological obstructions to rectifying homotopy-commutative diagrams.

Original languageEnglish
Pages (from-to)167-200
Number of pages34
JournalJournal of K-Theory
Issue number1
StatePublished - Feb 2010

Bibliographical note

Funding Information:
Acknowledgments: We would like to thank both the anonymous referee and Ronnie Brown for helpful comments. This research was supported by BSF grant 2006039; the third author was also supported by NSF grant DMS-0206647 and a Calvin Research Fellowship (SDG).


  • Higher homotopy operations
  • Homotopy-commutative diagram
  • Obstruction
  • Rectification
  • SO-cohomology

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Geometry and Topology


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