Statements (24)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appearsIn |
gptkb:Poincaré_polynomial
gptkb:Künneth_theorem gptkb:Mayer–Vietoris_sequence |
| gptkbp:describes |
gptkb:topology
|
| gptkbp:field |
gptkb:topology
|
| gptkbp:firstBettiNumber |
number of independent cycles
|
| gptkbp:generalizes |
gptkb:Euler_characteristic
|
| gptkbp:heldBy |
non-negative integer
rank of the k-th homology group |
| https://www.w3.org/2000/01/rdf-schema#label |
Betti number
|
| gptkbp:introducedIn |
19th century
|
| gptkbp:namedAfter |
gptkb:Enrico_Betti
|
| gptkbp:relatedTo |
homology
cohomology |
| gptkbp:symbol |
b_k
|
| gptkbp:usedFor |
measuring connectivity of a topological space
|
| gptkbp:usedIn |
gptkb:algebraic_geometry
gptkb:persistent_homology differential topology |
| gptkbp:zeroBettiNumber |
number of connected components
|
| gptkbp:bfsParent |
gptkb:algebraic_geometry
gptkb:commutative_algebra |
| gptkbp:bfsLayer |
5
|