Statements (34)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:example |
gptkb:Betti_numbers
gptkb:fundamental_group gptkb:genus gptkb:Euler_characteristic gptkb:K-theory gptkb:Pontryagin_classes gptkb:Chern_classes gptkb:Stiefel–Whitney_classes gptkb:Lefschetz_number gptkb:characteristic_classes gptkb:Reidemeister_torsion signature homology groups homotopy groups degree of a map |
| gptkbp:field |
gptkb:topology
|
| https://www.w3.org/2000/01/rdf-schema#label |
Topological invariants
|
| gptkbp:property |
invariant under homeomorphisms
may distinguish non-homeomorphic spaces |
| gptkbp:purpose |
classify topological spaces
|
| gptkbp:relatedTo |
homology
homotopy theory cohomology topological spaces manifolds continuous maps fiber bundles |
| gptkbp:usedIn |
gptkb:topology
differential topology geometric topology |
| gptkbp:bfsParent |
gptkb:Betti_Numbers
gptkb:Homology_group |
| gptkbp:bfsLayer |
8
|