Theorems in differential topology | Differential geometry

Transversality theorem

In differential topology, the transversality theorem, also known as the Thom transversality theorem after French mathematician RenΓ© Thom, 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. (Wikipedia).

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πŸ‘‰ Learn about converse theorems of parallel lines and a transversal. Two lines are said to be parallel when they have the same slope and are drawn straight to each other such that they cannot meet. In geometry, parallel lines are identified by two arrow heads or two small lines indicated i

From playlist Parallel Lines and a Transversal

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πŸ‘‰ Learn about parallel lines and a transversal theorems. Two lines are said to be parallel when they have the same slope and are drawn straight to each other such that they cannot meet. In geometry, parallel lines are identified by two arrow heads or two small lines indicated in both lines

From playlist Parallel Lines and a Transversal Theorems

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πŸ‘‰ Learn about converse theorems of parallel lines and a transversal. Two lines are said to be parallel when they have the same slope and are drawn straight to each other such that they cannot meet. In geometry, parallel lines are identified by two arrow heads or two small lines indicated i

From playlist Parallel Lines and a Transversal

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πŸ‘‰ Learn about parallel lines and a transversal theorems. Two lines are said to be parallel when they have the same slope and are drawn straight to each other such that they cannot meet. In geometry, parallel lines are identified by two arrow heads or two small lines indicated in both lines

From playlist Parallel Lines and a Transversal Theorems

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πŸ‘‰ Learn about parallel lines and a transversal theorems. Two lines are said to be parallel when they have the same slope and are drawn straight to each other such that they cannot meet. In geometry, parallel lines are identified by two arrow heads or two small lines indicated in both lines

From playlist Parallel Lines and a Transversal Theorems

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πŸ‘‰ Learn about converse theorems of parallel lines and a transversal. Two lines are said to be parallel when they have the same slope and are drawn straight to each other such that they cannot meet. In geometry, parallel lines are identified by two arrow heads or two small lines indicated i

From playlist Parallel Lines and a Transversal

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πŸ‘‰ Learn about converse theorems of parallel lines and a transversal. Two lines are said to be parallel when they have the same slope and are drawn straight to each other such that they cannot meet. In geometry, parallel lines are identified by two arrow heads or two small lines indicated i

From playlist Parallel Lines and a Transversal

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πŸ‘‰ Learn about converse theorems of parallel lines and a transversal. Two lines are said to be parallel when they have the same slope and are drawn straight to each other such that they cannot meet. In geometry, parallel lines are identified by two arrow heads or two small lines indicated i

From playlist Parallel Lines and a Transversal

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Introduce and prove theorems involving angle pairs formed by parallel lines and transversals. Demonstrate two-column proofs and work out problems with algebraic expressions.

From playlist Geometry

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From playlist Tony Yue Yu - The Frobenius Structure Conjecture for Log Calabi-Yau Varieties

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πŸ‘‰ Learn about converse theorems of parallel lines and a transversal. Two lines are said to be parallel when they have the same slope and are drawn straight to each other such that they cannot meet. In geometry, parallel lines are identified by two arrow heads or two small lines indicated i

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From playlist Mathematics

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πŸ‘‰ Learn how to solve for an unknown variable using parallel lines and a transversal theorems. Two lines are said to be parallel when they have the same slope and are drawn straight to each other such that they cannot meet. In geometry, parallel lines are identified by two arrow heads or tw

From playlist Parallel Lines cut by a Transversal Solve for x

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πŸ‘‰ Learn how to solve for an unknown variable using parallel lines and a transversal theorems. Two lines are said to be parallel when they have the same slope and are drawn straight to each other such that they cannot meet. In geometry, parallel lines are identified by two arrow heads or tw

From playlist Parallel Lines cut by a Transversal Solve for x

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πŸ‘‰ Learn about parallel lines and a transversal theorems. Two lines are said to be parallel when they have the same slope and are drawn straight to each other such that they cannot meet. In geometry, parallel lines are identified by two arrow heads or two small lines indicated in both lines

From playlist Parallel Lines and a Transversal Theorems

Related pages

Generic property | Manifold | Thom space | Transversality (mathematics) | Surgery theory | Jet (mathematics) | Fredholm operator | Differential topology