Examples of 'pontryagin' in a sentence
Meaning of "pontryagin"
Pontryagin: A Russian mathematician known for his contributions in various fields of mathematics such as topology and functional analysis
How to use "pontryagin" in a sentence
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pontryagin
Pontryagin numbers are certain topological invariants of a smooth manifold.
It may be stated simply in terms of Pontryagin duality.
Pontryagin duality in the theory of topological vector spaces.
The variables pk will often in practice be Pontryagin classes.
Pontryagin duality provides a large supply of examples of compact commutative groups.
The locally compact abelian case is part of the Pontryagin duality theory.
Pontryagin authored several influential monographs as well as popular textbooks in mathematics.
The representation theory for locally compact abelian groups is described by Pontryagin duality.
Pontryagin worked on duality theory for homology while still a student.
See also Pontryagin duality.
He was a student of Lev Pontryagin.
The pontryagin maximum principle gives a set of necessary conditions which the investment policy must satisfy.
For G abelian this is given by the Pontryagin duality theory.
See also Pontryagin duality for this case.
These methods are based on the application of the Pontryagin Maximum Principal.
See also
The Pontryagin class lies in cohomology groups with degree a multiple of four.
In fact, this is just a special case of Pontryagin duality.
The Pontryagin classes lie in cohomology groups with degrees a multiple of four.
Mathematically, the duality between position and momentum is an example of Pontryagin duality.
See also the Pontryagin duality for the generalized underpinnings of the Fourier transform.
Moreover, in operator theory there are specific instances of Krein spaces called Pontryagin spaces.
Pontryagin was accused of anti-Semitism on several occasions.
Also, one can define the Pontryagin product on the homology groups of an H-space.
Pontryagin classes actually, there were chern classes.
This gives rise to one of the Pontryagin classes, in real four-dimensional cohomology.
Pontryagin duality asserts that this functor induces an equivalence of categories LCAop → LCA.
There is also a quaternionic Pontryagin class, for vector bundles with quaternion structure.
In some cases, this can be usefully applied, for example in combination with Pontryagin duality.
The Pontryagin duality describes the theory for commutative groups, as a generalised Fourier transform.
This result gives a far-reaching generalization of Pontryagin duality for locally compact Hausdorff abelian groups.
We prove a Pontryagin maximum principle adapted to this context, establishing the constrained geodesic equations.
Dissertation: Extension theory of operators in Krein and Pontryagin spaces and applications.
More precisely, Pontryagin duality defines a self-duality of the category of locally compact abelian groups.
He received his Ph.D. from the Moscow State University under the direction of Lev Pontryagin.
However, as Pontryagin never published his proof, this usage has not spread to other places.
The 3-adic integers, with selected corresponding characters on their Pontryagin dual group.
On the one hand, Pontryagin is a special case of Gelfand duality.
In 1942 he introduced the cohomology operations now called Pontryagin squares.
In mathematics, the Pontryagin classes, named for Lev Pontryagin, are certain characteristic classes.
The locally compact abelian group case was solved in 1934 by Lev Pontryagin.
In 1934, Lev Pontryagin proved the Pontryagin duality theorem ; a result on topological groups.
It was formulated in 1956 by the Russian mathematician Lev Pontryagin and his students.
I Pontryagin et al 's.
JS, Yes . Well, there were already higher-dimensional invariants, Pontryagin classes -- actually, there were Chern classes.
He graduated from Moscow University in 1948, where his advisor was Lev Pontryagin.
It is again labelled by an integer number, its Pontryagin index, Q { \ displaystyle Q.
