Faster access than browser!Similarities between Cohomology and Motivic cohomology
Cohomology and Motivic cohomology have 18 things in common (in Unionpedia): Abelian category, Algebraic geometry, Algebraic K-theory, Chain complex, Daniel Quillen, Derived category, Exact sequence, Ext functor, Field (mathematics), Hyperhomology, Morphism of algebraic varieties, Poincaré duality, Princeton University Press, Ring (mathematics), Sheaf (mathematics), Triangulated category, Universal coefficient theorem, Vector bundle.
Abelian category
In mathematics, an abelian category is a category in which morphisms and objects can be added and in which kernels and cokernels exist and have desirable properties.
Abelian category and Cohomology · Abelian category and Motivic cohomology ·
Algebraic geometry
Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate polynomials.
Algebraic geometry and Cohomology · Algebraic geometry and Motivic cohomology ·
Algebraic K-theory
Algebraic K-theory is a subject area in mathematics with connections to geometry, topology, ring theory, and number theory.
Algebraic K-theory and Cohomology · Algebraic K-theory and Motivic cohomology ·
Chain complex
In mathematics, a chain complex is an algebraic structure that consists of a sequence of abelian groups (or modules) and a sequence of homomorphisms between consecutive groups such that the image of each homomorphism is included in the kernel of the next.
Chain complex and Cohomology · Chain complex and Motivic cohomology ·
Daniel Quillen
Daniel Gray "Dan" Quillen (June 22, 1940 – April 30, 2011) was an American mathematician.
Cohomology and Daniel Quillen · Daniel Quillen and Motivic cohomology ·
Derived category
In mathematics, the derived category D(A) of an abelian category A is a construction of homological algebra introduced to refine and in a certain sense to simplify the theory of derived functors defined on A. The construction proceeds on the basis that the objects of D(A) should be chain complexes in A, with two such chain complexes considered isomorphic when there is a chain map that induces an isomorphism on the level of homology of the chain complexes.
Cohomology and Derived category · Derived category and Motivic cohomology ·
Exact sequence
An exact sequence is a concept in mathematics, especially in group theory, ring and module theory, homological algebra, as well as in differential geometry.
Cohomology and Exact sequence · Exact sequence and Motivic cohomology ·
Ext functor
In mathematics, the Ext functors of homological algebra are derived functors of Hom functors.
Cohomology and Ext functor · Ext functor and Motivic cohomology ·
Field (mathematics)
In mathematics, a field is a set on which addition, subtraction, multiplication, and division are defined, and behave as when they are applied to rational and real numbers.
Cohomology and Field (mathematics) · Field (mathematics) and Motivic cohomology ·
Hyperhomology
In homological algebra, the hyperhomology or hypercohomology of a complex of objects of an abelian category is an extension of the usual homology of an object to complexes.
Cohomology and Hyperhomology · Hyperhomology and Motivic cohomology ·
Morphism of algebraic varieties
In algebraic geometry, a morphism between algebraic varieties is a function between the varieties that is given locally by polynomials.
Cohomology and Morphism of algebraic varieties · Morphism of algebraic varieties and Motivic cohomology ·
Poincaré duality
In mathematics, the Poincaré duality theorem, named after Henri Poincaré, is a basic result on the structure of the homology and cohomology groups of manifolds.
Cohomology and Poincaré duality · Motivic cohomology and Poincaré duality ·
Princeton University Press
Princeton University Press is an independent publisher with close connections to Princeton University.
Cohomology and Princeton University Press · Motivic cohomology and Princeton University Press ·
Ring (mathematics)
In mathematics, a ring is one of the fundamental algebraic structures used in abstract algebra.
Cohomology and Ring (mathematics) · Motivic cohomology and Ring (mathematics) ·
Sheaf (mathematics)
In mathematics, a sheaf is a tool for systematically tracking locally defined data attached to the open sets of a topological space.
Cohomology and Sheaf (mathematics) · Motivic cohomology and Sheaf (mathematics) ·
Triangulated category
In mathematics, a triangulated category is a category together with the additional structure of a "translation functor" and a class of "distinguished triangles".
Cohomology and Triangulated category · Motivic cohomology and Triangulated category ·
Universal coefficient theorem
In algebraic topology, universal coefficient theorems establish relationships between homology and cohomology theories.
Cohomology and Universal coefficient theorem · Motivic cohomology and Universal coefficient theorem ·
Vector bundle
In mathematics, a vector bundle is a topological construction that makes precise the idea of a family of vector spaces parameterized by another space X (for example X could be a topological space, a manifold, or an algebraic variety): to every point x of the space X we associate (or "attach") a vector space V(x) in such a way that these vector spaces fit together to form another space of the same kind as X (e.g. a topological space, manifold, or algebraic variety), which is then called a vector bundle over X.
Cohomology and Vector bundle · Motivic cohomology and Vector bundle ·
The list above answers the following questions
- What Cohomology and Motivic cohomology have in common
- What are the similarities between Cohomology and Motivic cohomology
Cohomology and Motivic cohomology Comparison
Cohomology has 186 relations, while Motivic cohomology has 56. As they have in common 18, the Jaccard index is 7.44% = 18 / (186 + 56).
References
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