Examples of 'cohomology' in a sentence
Meaning of "cohomology"
cohomology (noun) - in mathematics, cohomology is a general concept used to study properties of topological spaces or algebraic structures
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- A method of contravariantly associating a family of invariant quotient groups to each algebraic or geometric object of a category, including categories of geometric and algebraic objects.
- A system of quotient groups associated to a topological space.
How to use "cohomology" in a sentence
Basic
Advanced
cohomology
He developed crystalline cohomology and rigid cohomology.
Sheaf cohomology gives a satisfactory general answer.
It plays a certain definite role in cohomology theories.
Continuous bounded cohomology of locally compact groups.
He was also one of the founders of elliptic cohomology.
Third cohomology group for a group action.
And define its generalized cohomology theory by.
Motivic cohomology provides a rich invariant already for fields.
This induces a long exact sequence in cohomology.
Cohomology arises from the algebraic dualization of the construction of homology.
The definitions are then connected to cohomology.
Extraordinary cohomology theories.
It is an important variant of usual étale cohomology.
The additional structure made cohomology a finer invariant.
This result can be stated more simply in terms of cohomology.
See also
Multiplicative cohomology theory.
Classically these correlation functions are determined by the cohomology ring.
Generalized cohomology theory.
Functional analysis and motivic cohomology.
Integral cohomology group.
Various flavors of elliptic cohomology.
Our main tool is the étale cohomology of sheaves on simplicial schemes.
Its extension to more general varieties is called rigid cohomology.
Generalized homology and cohomology of spectra.
Arithmetic quotients of locally symmetric spaces and their cohomology.
Extraordinary cohomology theory.
This spectrum corresponds to the standard homology and cohomology theory.
He is interested in the cohomology of algebraic varieties and the theory of motives.
Equivariant homotopy and cohomology theory.
It is a cohomology theory based on the existence of differential forms with prescribed properties.
This work opened the way to group cohomology in general.
See étale cohomology for the basic formulae of the general theory.
Constant sheaves of abelian groups appear in particular as coefficients in sheaf cohomology.
All objects in secondary calculus are cohomology classes of differential complexes growing on diffieties.
It is also the correct definition in the sense of extraordinary cohomology theory.
It makes the singular cohomology of a connected manifold into a unitary supercommutative ring.
Notes on motivic cohomology.
So the long exact cohomology sequences themselves ultimately separate into a chain of isomorphisms.
Coherent sheaf cohomology.
Cohomology can be viewed as a method of assigning richer algebraic invariants to a space than homology.
This work deals first with problems of localization in equivariant cohomology.
This result is used to calculate the étale cohomology groups of an algebraic curve.
Moreover all these invariants are related to the theory of bounded cohomology.
Action on cohomology.
They later tried to apply similar ideas to construct motivic cohomology.
The resulting cohomology is called Galois cohomology.
Localization in equivariant cohomology.
De Rham cohomology with twisted coefficients and group cohomology.
His main areas of research are algebraic topology and the group cohomology.
Another approach to relating Čech cohomology to sheaf cohomology is as follows.
