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- Transversality_theorem abstract "In differential topology, the transversality theorem, also known as the Thom Transversality Theorem, is a major result that describes the transverse intersection properties of a smooth family of smooth maps. It says that transversality is a generic property: any smooth map , may be deformed by an arbitrary small amount into a map that is transverse to a given submanifold . Together with the Pontryagin-Thom construction, it is the technical heart of cobordism theory, and the starting point for surgery theory. The finite-dimensional version of the transversality theorem is also a very useful tool for establishing the genericity of a property which is dependent on a finite number of real parameters and which is expressible using a system of nonlinear equations. This can be extended to an infinite-dimensional parametrization using the infinite-dimensional version of the transversality theorem.".
- Transversality_theorem wikiPageID "22667049".
- Transversality_theorem wikiPageRevisionID "598770330".
- Transversality_theorem hasPhotoCollection Transversality_theorem.
- Transversality_theorem subject Category:Differential_geometry.
- Transversality_theorem subject Category:Theorems_in_differential_topology.
- Transversality_theorem type Abstraction100002137.
- Transversality_theorem type Communication100033020.
- Transversality_theorem type Message106598915.
- Transversality_theorem type Proposition106750804.
- Transversality_theorem type Statement106722453.
- Transversality_theorem type Theorem106752293.
- Transversality_theorem type TheoremsInDifferentialTopology.
- Transversality_theorem comment "In differential topology, the transversality theorem, also known as the Thom Transversality Theorem, is a major result that describes the transverse intersection properties of a smooth family of smooth maps. It says that transversality is a generic property: any smooth map , may be deformed by an arbitrary small amount into a map that is transverse to a given submanifold .".
- Transversality_theorem label "Transversality theorem".
- Transversality_theorem label "Transversalitätssatz".
- Transversality_theorem sameAs Transversalitätssatz.
- Transversality_theorem sameAs m.05zl4p2.
- Transversality_theorem sameAs Q116677.
- Transversality_theorem sameAs Q116677.
- Transversality_theorem sameAs Transversality_theorem.
- Transversality_theorem wasDerivedFrom Transversality_theorem?oldid=598770330.
- Transversality_theorem isPrimaryTopicOf Transversality_theorem.