Algebraic invariants for homotopy types

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We define a sequence of purely algebraic invariants - namely, classes in the Quillen cohomology of the Π-algebra π*Χ - for distinguishing between different homotopy types of spaces. Another sequence of such cohomology classes allows one to decide whether a given abstract Π-algebra can be realized as the homotopy Π-algebra of a space.

Original languageEnglish
Pages (from-to)497-523
Number of pages27
JournalMathematical Proceedings of the Cambridge Philosophical Society
Issue number3
StatePublished - Nov 1999

ASJC Scopus subject areas

  • General Mathematics


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