Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:Topological_spaces
|
| gptkbp:category |
gptkb:Topological_invariants
Homological algebra |
| gptkbp:describes |
gptkb:Topological_invariants
|
| gptkbp:field |
gptkb:Algebraic_topology
|
| gptkbp:firstBettiNumber |
Number of independent loops
|
| gptkbp:generalizes |
Genus of a surface
|
| https://www.w3.org/2000/01/rdf-schema#label |
Betti Numbers
|
| gptkbp:introducedIn |
19th century
|
| gptkbp:measures |
Number of independent cycles in each dimension
|
| gptkbp:namedAfter |
gptkb:Enrico_Betti
|
| gptkbp:notation |
b_n
|
| gptkbp:relatedTo |
gptkb:Euler_characteristic
gptkb:Homology_groups |
| gptkbp:secondBettiNumber |
Number of independent surfaces
|
| gptkbp:usedIn |
gptkb:Algebraic_geometry
gptkb:Differential_geometry Mathematical physics Homology theory |
| gptkbp:zeroBettiNumber |
Number of connected components
|
| gptkbp:bfsParent |
gptkb:Singular_Homology_Theory
|
| gptkbp:bfsLayer |
7
|