Complete intersections and mod p cochains

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

Research output: Contribution to journalArticle

2 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

Fingerprint

Rational Homotopy Theory
Classifying Space
Complete Intersection
Endomorphisms
Homotopy
Ring
Module
Algebra
Invariant

Keywords

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

Cite this

Benson, D. J., Greenlees, J. P. C., & Shamir, S. (2013). Complete intersections and mod p cochains. Algebraic & Geometric Topology, 13(1), 61-114. https://doi.org/10.2140/agt.2013.13.61

Complete intersections and mod p cochains. / Benson, David J.; Greenlees, John P. C.; Shamir, Shoham.

In: Algebraic & Geometric Topology, Vol. 13, No. 1, 06.02.2013, p. 61-114.

Research output: Contribution to journalArticle

Benson, DJ, Greenlees, JPC & Shamir, S 2013, 'Complete intersections and mod p cochains', Algebraic & Geometric Topology, vol. 13, no. 1, pp. 61-114. https://doi.org/10.2140/agt.2013.13.61
Benson, David J. ; Greenlees, John P. C. ; Shamir, Shoham. / Complete intersections and mod p cochains. In: Algebraic & Geometric Topology. 2013 ; Vol. 13, No. 1. pp. 61-114.
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