Operations on resolutions and the reverse adams spectral sequence

Research output: Contribution to journalArticlepeer-review


We describe certain operations on resolutions in abelian categories, and apply them to calculate part of a reverse Adams spectral sequence, going “from homotopy to homology”, for the space K(Z/2, n). This calculation is then used to deduce that there is no space whose homotopy groups are the reduction mod 2. As another application of the operations we give a short proof of T. Y. Lin's theorem on the infinite projective dimension of all nonfree π-modules.

Original languageEnglish
Pages (from-to)197-213
Number of pages17
JournalTransactions of the American Mathematical Society
Issue number1
StatePublished - Mar 1994


  • Homology
  • Homotopy groups
  • Operations
  • Resolutions
  • Spectral sequences
  • Π-algebras
  • π-modules

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


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