Statements (32)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
CW complexes
finite cell complexes simplicial complexes |
| gptkbp:category |
gptkb:mathematics
|
| gptkbp:definedIn |
polyhedra
topological spaces |
| gptkbp:firstDescribed |
1752
|
| gptkbp:form |
χ = V - E + F
|
| gptkbp:generalizes |
gptkb:Betti_numbers
homology |
| gptkbp:hasInvariant |
gptkb:homotopy_equivalence
homeomorphism |
| gptkbp:hasWikidataID |
Q11378
|
| https://www.w3.org/2000/01/rdf-schema#label |
Euler characteristic
|
| gptkbp:location |
E = number of edges
F = number of faces V = number of vertices |
| gptkbp:namedAfter |
gptkb:Leonhard_Euler
|
| gptkbp:relatedTo |
gptkb:Gauss–Bonnet_theorem
gptkb:genus gptkb:Euler's_formula gptkb:Poincaré–Hopf_theorem |
| gptkbp:symbol |
χ
|
| gptkbp:usedIn |
gptkb:topology
polyhedral combinatorics |
| gptkbp:valuation |
2
|
| gptkbp:valueFor |
convex polyhedron
|
| gptkbp:bfsParent |
gptkb:Leonhard_Euler
gptkb:Topology gptkb:elliptic_curve |
| gptkbp:bfsLayer |
5
|