Complete intersections and mod p cochains

David J. Benson, John P. C. Greenlees, Shoham Shamir

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We give homotopy invariant definitions corresponding to three well-known properties of complete intersections, for the ring, the module theory and the endomorphisms of the residue field, and we investigate them for the mod p cochains on a space, showing that suitable versions of the second and third are equivalent and that the first is stronger. We are particularly interested in classifying spaces of groups, and we give a number of examples. The case of rational homotopy theory is treated in [J. Pure Appl. Algebra 217 (2013) 636–663], and there are some interesting contrasts.
Original languageEnglish
Pages (from-to)61-114
Number of pages54
JournalAlgebraic & Geometric Topology
Volume13
Issue number1
DOIs
Publication statusPublished - 6 Feb 2013

Keywords

  • complete intersection
  • commutative ring spectrum
  • derived category
  • group cohomology
  • mod p cochains

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