Statements (93)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:academic
|
| gptkbp:concerns |
diffeomorphisms
smooth maps smooth structures |
| gptkbp:field |
gptkb:mathematics
|
| https://www.w3.org/2000/01/rdf-schema#label |
Differential Topology
|
| gptkbp:includes |
gptkb:Morse_theory
surgery theory vector fields cobordism foliations handlebody theory transversality |
| gptkbp:notableContributor |
gptkb:Stephen_Smale
gptkb:John_Milnor gptkb:Raoul_Bott gptkb:René_Thom gptkb:William_Thurston |
| gptkbp:relatedTo |
gptkb:topology
differential geometry |
| gptkbp:studies |
gptkb:h-cobordism_theorem
gptkb:homotopy_spheres gptkb:Poincaré_conjecture gptkb:Lie_algebras gptkb:Lie_groups gptkb:Pontryagin_classes gptkb:Whitney_embedding_theorem gptkb:Sard's_theorem gptkb:Stiefel-Whitney_classes gptkb:exotic_spheres gptkb:Morse_inequalities gptkb:Reeb_theorem gptkb:characteristic_classes gptkb:vector_bundles gptkb:Thom_class homology homotopy theory cohomology intersection theory differentiable manifolds differential forms singularities isotopy classification of surfaces critical points smooth manifolds Euler class flows on manifolds smooth functions classification of manifolds differentiable structures differentiable maps submanifolds embedding theorems bordism tangent bundles smooth structures on spheres exotic R^4 critical values degree theory differentiable Morse functions differentiable cobordism differentiable covering spaces differentiable critical points differentiable embeddings differentiable fiber bundles differentiable flows differentiable foliations differentiable group actions differentiable handlebodies differentiable immersions differentiable isotopy differentiable singularities differentiable structures on manifolds differentiable submanifolds differentiable surgery theory differentiable vector fields framed cobordism handle decompositions immersion theorems regular values smooth approximation smooth homotopy smooth isotopy smooth structures on Euclidean spaces surgery on manifolds transversality theorem tubular neighborhoods vector fields on manifolds |
| gptkbp:uses |
tools from calculus
tools from topology |
| gptkbp:bfsParent |
gptkb:Victor_Guillemin
|
| gptkbp:bfsLayer |
5
|