Statements (90)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
cohomology theory
|
| gptkbp:appliesTo |
topological spaces
|
| gptkbp:can_be |
using partitions of unity
|
| gptkbp:developedBy |
Georges_de_Rham
|
| https://www.w3.org/2000/01/rdf-schema#label |
de Rham cohomology
|
| gptkbp:is |
used in the study of differential equations
used in differential geometry used in the study of complex manifolds used in the study of dynamical systems used in physics used in the study of algebraic topology used in the study of mathematical physics used in the study of quantum field theory used in the study of category theory used in the study of derived categories of algebraic varieties used in the study of derived categories of model categories used in the study of derived categories of triangulated categories used in the study of derived categories of complexes used in the study of derived categories of abelian categories used in the study of spectral sequences in cohomology a cohomology theory for smooth manifolds a fundamental concept in modern mathematics a method for computing cohomology groups a tool in algebraic topology a type of cohomology theory an important concept in topology used in the study of derived categories of stable categories based on differential forms used in the study of derived categories of algebraic varieties. related to the de Rham theorem used in the study of 3-manifolds used in the study of 4-manifolds used in the study of Lie groups used in the study of algebraic topology techniques used in the study of algebraic varieties used in the study of arithmetic geometry used in the study of characteristic classes used in the study of cohomological dimension used in the study of cohomology operations used in the study of cohomology rings used in the study of derived categories used in the study of derived categories of modules used in the study of derived categories of schemes used in the study of derived categories of sheaves used in the study of derived functors used in the study of derived functors of sheaves used in the study of differential topology used in the study of fiber bundles used in the study of gauge theory used in the study of geometric topology used in the study of homological algebra used in the study of homotopical algebra used in the study of homotopy groups used in the study of homotopy limits and colimits used in the study of homotopy theory used in the study of knot theory used in the study of local cohomology used in the study of low-dimensional topology used in the study of model categories used in the study of motivic cohomology used in the study of number theory used in the study of representation theory used in the study of sheaf cohomology used in the study of sheaf theory used in the study of simplicial categories used in the study of simplicial cohomology used in the study of simplicial homotopy theory used in the study of simplicial sets used in the study of spectral sequences used in the study of stable homotopy theory used in the study of string theory used in the study of symplectic geometry used in the study of topological K-theory used in the study of topology of manifolds used in the study of triangulated categories used in the study of vector fields used in the study of derived categories of topological spaces used in the study of derived categories of algebraic schemes used in the study of derived categories of algebraic groups used in the study of derived categories of simplicial categories used in the study of derived categories of algebraic spaces used_in_the_study_of_algebraic_K-theory used_in_the_study_of_derived_categories_of_algebraic_stacks related_to_Hodge_theory used_in_the_study_of_Riemannian_geometry |
| gptkbp:provides |
isomorphism with singular cohomology
|
| gptkbp:relatedTo |
smooth manifolds
differential forms |
| gptkbp:uses |
exterior derivative
Stokes'_theorem |