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The exterior algebra

  • Jürgen HerzogEmail author
  • Takayuki Hibi
Chapter
  • 1.8k Downloads

Abstract

Chapter 5 is devoted to establishing the theory of Gröbner bases in the exterior algebra, and uses exterior techniques to give a proof of the Alexander duality theorem which establishes isomorphisms between simplicial homology and cohomology of a simplicial complex and its Alexander dual.

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Copyright information

© Springer-Verlag London Limited 2011

Authors and Affiliations

  1. 1.Fachbereich MathematikUniversität Duisburg-EssenEssenGermany
  2. 2.Department of Pure and Applied Mathematics, Graduate School of Information Science and TechnologyOsaka UniversityToyonakaJapan

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