Cohomology

  • Glen E. Bredon
Part of the Graduate Texts in Mathematics book series (GTM, volume 139)

Abstract

Let V be a vector space over the real numbers. Denote by A p (V) the vector space of all alternating multilinear p-forms on V. That is, ωA p (V) is a function which assigns to each p-tuple 〈X 1,…, X p 〉 of vectors in V, a real number ω(X 1,…, X p ) such that
$$\omega ({X_{\sigma 1}},...,{X_{\sigma p}}) = \operatorname{sgn} (\sigma )\omega ({X_1},...,{X_p})$$
for any permutation σ of 1, 2,…, p, and such that ω is linear in each variable.

Keywords

Abelian Group Exact Sequence Short Exact Sequence Cochain Complex Injective Resolution 
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 Science+Business Media New York 1993

Authors and Affiliations

  • Glen E. Bredon
    • 1
  1. 1.Department of MathematicsRutgers UniversityNew BrunswickUSA

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