Review of Chains and Cochains

  • Jayce Getz
  • Mark Goresky
Part of the Progress in Mathematics book series (PM, volume 298)


Recall (e.g.,[Hud ]) that a closed convex linear cell is the convex hull of finitely many points in Euclidean space. A convex linear cell complex K is a finite collection of closed convex linear cells in some ℝN such that if 𝜎 ∈ K then every face of 𝜎 is in K, and if 𝜎, 𝜏 ∈ K then the intersection 𝜎 ∩ 𝜏 is in K.


Simplicial Complex Cohomological Dimension Injective Resolution Cohomology Sheaf Dimensional Cell 
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Copyright information

© Springer Basel 2012

Authors and Affiliations

  • Jayce Getz
    • 1
  • Mark Goresky
    • 2
  1. 1.Department of MathematicsMcGill UniversityMontrealCanada
  2. 2.School of MathematicsInstitute for Advanced StudyPrincetonUSA

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