Concept information
Término preferido
differential topology
Definición
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In mathematics, differential topology is the field dealing with the topological properties and smooth properties of smooth manifolds. In this sense differential topology is distinct from the closely related field of differential geometry, which concerns the geometric properties of smooth manifolds, including notions of size, distance, and rigid shape. By comparison differential topology is concerned with coarser properties, such as the number of holes in a manifold, its homotopy type, or the structure of its diffeomorphism group. Because many of these coarser properties may be captured algebraically, differential topology has strong links to algebraic topology.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Differential_topology)
Concepto genérico
Conceptos específicos
- Birkhoff-Grothendieck theorem
- Conley index theory
- Conley's fundamental theorem of dynamical systems
- covering space
- differentiable manifold
- disc theorem
- Ehresmann's lemma
- Frobenius' theorem
- Gaussian curvature
- hairy ball theorem
- Hopf theorem
- inverse function theorem
- Poincaré-Hopf theorem
- singularity theory
- sphere eversion
- stable vector bundle
- tangent line to a plane curve
- vector bundle
En otras lenguas
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francés
URI
http://data.loterre.fr/ark:/67375/PSR-Q10Q14NT-1
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