Logo
Unionpedia
Communication
Get it on Google Play
New! Download Unionpedia on your Android™ device!
Free
Faster access than browser!
 

Homotopy principle

Index Homotopy principle

In mathematics, the homotopy principle (or h-principle) is a very general way to solve partial differential equations (PDEs), and more generally partial differential relations (PDRs). [1]

14 relations: Agnar Höskuldsson, Classification of manifolds, Immersion (mathematics), Linking number, List of partial differential equation topics, List of Russian mathematicians, List of Russian people, List of Russian scientists, Mikhail Leonidovich Gromov, N-connected space, Nash embedding theorem, Partial differential equation, Regular homotopy, Sphere eversion.

Agnar Höskuldsson

Dr.

New!!: Homotopy principle and Agnar Höskuldsson · See more »

Classification of manifolds

In mathematics, specifically geometry and topology, the classification of manifolds is a basic question, about which much is known, and many open questions remain.

New!!: Homotopy principle and Classification of manifolds · See more »

Immersion (mathematics)

In mathematics, an immersion is a differentiable function between differentiable manifolds whose derivative is everywhere injective.

New!!: Homotopy principle and Immersion (mathematics) · See more »

Linking number

In mathematics, the linking number is a numerical invariant that describes the linking of two closed curves in three-dimensional space.

New!!: Homotopy principle and Linking number · See more »

List of partial differential equation topics

This is a list of partial differential equation topics.

New!!: Homotopy principle and List of partial differential equation topics · See more »

List of Russian mathematicians

This list of Russian mathematicians includes the famous mathematicians from the Russian Empire, the Soviet Union and the Russian Federation.

New!!: Homotopy principle and List of Russian mathematicians · See more »

List of Russian people

This is a list of people associated with the modern Russian Federation, the Soviet Union, Imperial Russia, Russian Tsardom, the Grand Duchy of Moscow, and other predecessor states of Russia.

New!!: Homotopy principle and List of Russian people · See more »

List of Russian scientists

Alona Soschen.

New!!: Homotopy principle and List of Russian scientists · See more »

Mikhail Leonidovich Gromov

Mikhail Leonidovich Gromov (also Mikhael Gromov, Michael Gromov or Mischa Gromov; Михаи́л Леони́дович Гро́мов; born 23 December 1943), is a French-Russian mathematician known for work in geometry, analysis and group theory.

New!!: Homotopy principle and Mikhail Leonidovich Gromov · See more »

N-connected space

In the mathematical branch of algebraic topology, specifically homotopy theory, n-connectedness (sometimes, n-simple connectedness) generalizes the concepts of path-connectedness and simple connectedness.

New!!: Homotopy principle and N-connected space · See more »

Nash embedding theorem

The Nash embedding theorems (or imbedding theorems), named after John Forbes Nash, state that every Riemannian manifold can be isometrically embedded into some Euclidean space.

New!!: Homotopy principle and Nash embedding theorem · See more »

Partial differential equation

In mathematics, a partial differential equation (PDE) is a differential equation that contains unknown multivariable functions and their partial derivatives.

New!!: Homotopy principle and Partial differential equation · See more »

Regular homotopy

In the mathematical field of topology, a regular homotopy refers to a special kind of homotopy between immersions of one manifold in another.

New!!: Homotopy principle and Regular homotopy · See more »

Sphere eversion

In differential topology, sphere eversion is the process of turning a sphere inside out in a three-dimensional space.

New!!: Homotopy principle and Sphere eversion · See more »

Redirects here:

H-principle, Homotopy-principle.

References

[1] https://en.wikipedia.org/wiki/Homotopy_principle

OutgoingIncoming
Hey! We are on Facebook now! »