Loop spaces and homotopy operations

Research output: Contribution to journalArticlepeer-review


We describe an obstruction theory for an H-space X to be a loop space, in terms of higher homotopy operations taking values in π*X. These depend on first algebraically "delooping" the Π-algebras π*X, using the H-space structure on X, and then trying to realize the delooped Π-algebra.

Original languageEnglish
Pages (from-to)75-95
Number of pages21
JournalFundamenta Mathematicae
Issue number1
StatePublished - 1997


  • Delooping
  • H-space
  • Higher homotopy operations
  • Loop space
  • Obstruction theory
  • Topological group
  • Π-algebra

ASJC Scopus subject areas

  • Algebra and Number Theory


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