Chapter 3. Cohomology

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• 3.1. Cohomology Groups
  • The Universal Coefficient Theorem
  • Cohomology of Spaces
• 3.2. Cup Product
  • The Cohomology Ring
  • A Künneth Formula
  • Spaces with Polynomial Cohomology
• 3.3. Poincaré Duality
  • Orientations and Homology
  • The Duality Theorem
  • Connection with Cup Product
  • Other Forms of Duality
• Additional Topics
  • 3.A. Universal Coefficients for Homology
  • 3.B. The General Künneth Formula
  • 3.C. H-Spaces and Hopf Algebras
  • 3.D. The Cohomology of SO(n)
  • 3.E. Bockstein Homomorphisms
  • 3.F. Limits and Ext
  • 3.G. Transfer Homomorphisms
  • 3.H. Local Coefficients