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Review of Chains and Cochains

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

Abstract

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.

Keywords

Simplicial Complex Cohomological Dimension Injective Resolution Cohomology Sheaf Dimensional Cell 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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