Cohomology
concept- Related → Exact sequences
- Related → Persistent homology
- Related → Simplicial complexes
- Related → Topological spaces
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Homotopy
concept- Related → Fundamental group
- Related → Homotopy equivalence
- Related → Topological spaces
- Related → Simplicial complexes
Simplicial complexes
concept- Related → Chain complexes
- Related → Euler characteristic
- Related → Homotopy
- Related → Cohomology
Topological spaces
concept- Related → Homotopy
- Related → Cohomology
- Leads to → Covering spaces
Chain complexes
concept- Related → Simplicial complexes
- Related → Homology groups
- Leads to → Homology groups
Exact sequences
concept- Related → Cohomology
- Related → Higher homotopy groups
Fundamental group
concept- Related → Homotopy
- Related → Covering spaces
Covering spaces
concept- Related → Fundamental group
- Related → Homotopy equivalence
- Requires → Topological spaces
Homology groups
concept- Related → Chain complexes
- Related → Euler characteristic
- Requires → Chain complexes
- Leads to → Persistent homology
Higher homotopy groups
concept- Related → Exact sequences
- Related → Persistent homology
Euler characteristic
concept- Related → Homology groups
- Related → Simplicial complexes
Homotopy equivalence
concept- Related → Covering spaces
- Related → Homotopy
Persistent homology
concept- Related → Higher homotopy groups
- Related → Cohomology
- Requires → Homology groups