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A Duality on Simplicial Complexes

Published/Copyright: February 25, 2010
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Georgian Mathematical Journal
From the journal Volume 9 Issue 4

Abstract

We describe a duality theory for finite simplicial complexes that gives isomorphisms between the (reduced) homology of the complex and the (reduced) cohomology of the dual.

Key words and phrases:: Abstract simplicial complex; duality
Received: 2002-03-18
Published Online: 2010-02-25
Published in Print: 2002-December

© Heldermann Verlag

Articles in the same Issue

  1. A Duality on Simplicial Complexes
  2. Chain Theories and Simplicial Abelian Group Spectra
  3. Crossed Complexes, and Free Crossed Resolutions for Amalgamated Sums and HNN-Extensions of Groups
  4. Boolean Galois Theories
  5. Stem Extensions and Stem Covers of Leibniz Algebras
  6. Central Series for Groups with Action and Leibniz Algebras
  7. Roots of Unity as A Lie Algebra
  8. On the Equivalence of Quillen's and Swan's K-Theories
  9. A Magnus–Witt Type Isomorphism for Non-Free Groups
  10. The Whitehead Categorical Group of Derivations
  11. Differential Equations, Spencer Cohomology, and Computing Resolutions
  12. On Construction of Signature of Quadratic Forms on Infinite-Dimensional Abstract Spaces
  13. A Property of the Degree Filtration of Polynomial Functors
  14. Free Quillen Factorization Systems
https://doi.org/10.1515/GMJ.2002.601
Keywords for this article
Abstract simplicial complex; duality

Articles in the same Issue

  1. A Duality on Simplicial Complexes
  2. Chain Theories and Simplicial Abelian Group Spectra
  3. Crossed Complexes, and Free Crossed Resolutions for Amalgamated Sums and HNN-Extensions of Groups
  4. Boolean Galois Theories
  5. Stem Extensions and Stem Covers of Leibniz Algebras
  6. Central Series for Groups with Action and Leibniz Algebras
  7. Roots of Unity as A Lie Algebra
  8. On the Equivalence of Quillen's and Swan's K-Theories
  9. A Magnus–Witt Type Isomorphism for Non-Free Groups
  10. The Whitehead Categorical Group of Derivations
  11. Differential Equations, Spencer Cohomology, and Computing Resolutions
  12. On Construction of Signature of Quadratic Forms on Infinite-Dimensional Abstract Spaces
  13. A Property of the Degree Filtration of Polynomial Functors
  14. Free Quillen Factorization Systems
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