A sequence of abelian groups assigned functorially to a space, detecting n-dimensional holes. Computed from chain complexes; homotopy-invariant.
Homology H_n(X)
Related concepts
- Continuous map
- Brouwer fixed-point theorem
- Group (G, ·)
- Cohomology H^n(X)
- Singular homology
- Exact sequence
- Derived category D(𝒜)
- Cohomology H^n(X)
- Cohomology H^n(X)
- Spectral sequence
- Simplicial homology
- Hurewicz theorem
- Floer homology (sketch)
- Euler characteristic of a chain complex
- Higher homotopy groups π_n
- Polytope face structure (Euler 1758)
- Morse theory (Morse 1925)
- Hydrodynamic limit