Higher homotopy operations

David Blanc, Martin Markl

Research output: Contribution to journalArticlepeer-review


We provide a general definition of higher homotopy operations, encompassing most known cases, including higher Massey and Whitehead products, and long Toda brackets. These operations are defined in terms of the W-construction of Boardman and Vogt, applied to the appropriate diagram category; we also show how some classical families of polyhedra (including simplices, cubes, associahedra, and permutahedra) arise in this way.

Original languageEnglish
Pages (from-to)1-29
Number of pages29
JournalMathematische Zeitschrift
Issue number1
StatePublished - Sep 2003

ASJC Scopus subject areas

  • General Mathematics


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