Definitions

1. Georges de Rham (10 September 1903 - 9 October 1990) was a Swiss mathematician, known for his contributions to differential topology.

Motive

1. Motive s and the motivic Galois group (and Grothendieck categories) Crystal s and crystalline cohomology, yoga of De Rham and Hodge coefficients. (Web site)

Motives

1. Motives and the motivic Galois group (and Grothendieck categories) Crystals and crystalline cohomology, yoga of De Rham and Hodge coefficients.

Topology

1. His topology was the ansatz for the theory of distributions and was extended to currents by de Rham.

Smooth Manifolds

1. De Rham also worked on the torsion invariants of smooth manifolds.

Differential Topology

1. Georges de Rham (10 September 1903 - 9 October 1990) was a Swiss mathematician, known for his contributions to differential topology.

Cohomology

1. Integration of forms gives a natural homomorphism from the de Rham cohomology to the singular cohomology of a smooth manifold. (Web site)
2. We also introduce the theory of de Rham cohomology, which is central to many arguments in topology.
3. In classical differential geometry, de Rham cohomology is a (contravariant) functor with respect to smooth maps between manifolds.

Theory

1. Accordingly, we move primarily in the realm of smooth manifolds and use the de Rham theory as a prototype of all of cohomology. (Web site)
2. By using the de Rham theory of differential forms as a prototype of cohomology, the machineries of algebraic topology are made easier to assimilate. (Web site)
3. The De Rham theory is then extended to singular cohomology and the Mayer-Vietoris sequence studied for singular cochains.

Smooth Manifold

1. De Rham's theorem, proved by Georges de Rham in 1931, states that for a smooth manifold M, this map is in fact an isomorphism. (Web site)

Rham

1. It is important in the theory of integration on manifolds, and is the differential used to define de Rham and Alexander-Spanier cohomology. (Web site)
2. Varietà differenziabili e coomologia di De Rham (Differentiable manifolds and De Rham cohomology). (Web site)
3. The key point, proved in an appendix, is the de Rham theorem which establishes an isomorphism between de Rham and singular cohomology. (Web site)

Categories

1. Rham Cohomology
2. Science > Mathematics > Topology > Differential Topology
3. Smooth Manifold
4. Differentiable Manifolds
5. Grothendieck
6. Books about "Rham" in Amazon.com
   

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