Higher Toda brackets and Massey products

Hans Joachim Baues, David Blanc, Shilpa Gondhali

Research output: Contribution to journalArticlepeer-review


We provide a uniform definition of higher order Toda brackets in a general setting, covering the known cases of long Toda brackets for topological spaces and Massey products for differential graded algebras, among others.

Original languageEnglish
Pages (from-to)643-677
Number of pages35
JournalJournal of Homotopy and Related Structures
Issue number4
StatePublished - 1 Dec 2016

Bibliographical note

Publisher Copyright:
© 2016, Tbilisi Centre for Mathematical Sciences.


  • Chain complex
  • Enriched category
  • Higher order cohomology operation
  • Higher order homotopy operation
  • Massey product
  • Monoidal model category
  • Path object
  • Toda bracket

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Geometry and Topology


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