List of Algebraic Topology Topics - Homology (mathematics)

Homology (mathematics)

  • Simplex
  • Simplicial complex
    • Polytope
    • Triangulation
    • Barycentric subdivision
    • Simplicial approximation theorem
    • Abstract simplicial complex
    • Simplicial set
    • Simplicial category
  • Chain (algebraic topology)
  • Betti number
  • Euler characteristic
    • Genus
    • Riemann–Hurwitz formula
  • Singular homology
  • Cellular homology
  • Relative homology
  • Mayer–Vietoris sequence
  • Excision theorem
  • Universal coefficient theorem
  • Cohomology
    • List of cohomology theories
    • Cocycle class
    • Cup product
    • Cohomology ring
    • De Rham cohomology
    • Čech cohomology
    • Alexander–Spanier cohomology
    • Intersection cohomology
    • Lyusternik–Schnirelmann category
  • Poincaré duality
  • Fundamental class
  • Applications
    • Jordan curve theorem
    • Brouwer fixed point theorem
    • Invariance of domain
    • Lefschetz fixed-point theorem
    • Hairy ball theorem
    • Degree (mathematics)
    • Borsuk–Ulam theorem
    • Ham sandwich theorem
    • Homology sphere

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