Faster access than browser!Similarities between Cohomology and Triangulated category
Cohomology and Triangulated category have 15 things in common (in Unionpedia): Abelian category, Abelian group, Alexander Grothendieck, Category (mathematics), Derived category, Derived functor, Exact sequence, Ext functor, Functor, Homotopy, Homotopy category of chain complexes, Mathematics, Natural transformation, Spectrum (topology), Springer Science+Business Media.
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 Triangulated category ·
Abelian group
In abstract algebra, an abelian group, also called a commutative group, is a group in which the result of applying the group operation to two group elements does not depend on the order in which they are written.
Abelian group and Cohomology · Abelian group and Triangulated category ·
Alexander Grothendieck
Alexander Grothendieck (28 March 1928 – 13 November 2014) was a German-born French mathematician who became the leading figure in the creation of modern algebraic geometry.
Alexander Grothendieck and Cohomology · Alexander Grothendieck and Triangulated category ·
Category (mathematics)
In mathematics, a category (sometimes called an abstract category to distinguish it from a concrete category) is an algebraic structure similar to a group but without requiring inverse or closure properties.
Category (mathematics) and Cohomology · Category (mathematics) and Triangulated category ·
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 Triangulated category ·
Derived functor
In mathematics, certain functors may be derived to obtain other functors closely related to the original ones.
Cohomology and Derived functor · Derived functor and Triangulated category ·
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 Triangulated category ·
Ext functor
In mathematics, the Ext functors of homological algebra are derived functors of Hom functors.
Cohomology and Ext functor · Ext functor and Triangulated category ·
Functor
In mathematics, a functor is a map between categories.
Cohomology and Functor · Functor and Triangulated category ·
Homotopy
In topology, two continuous functions from one topological space to another are called homotopic (from Greek ὁμός homós "same, similar" and τόπος tópos "place") if one can be "continuously deformed" into the other, such a deformation being called a homotopy between the two functions.
Cohomology and Homotopy · Homotopy and Triangulated category ·
Homotopy category of chain complexes
In homological algebra in mathematics, the homotopy category K(A) of chain complexes in an additive category A is a framework for working with chain homotopies and homotopy equivalences.
Cohomology and Homotopy category of chain complexes · Homotopy category of chain complexes and Triangulated category ·
Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
Cohomology and Mathematics · Mathematics and Triangulated category ·
Natural transformation
In category theory, a branch of mathematics, a natural transformation provides a way of transforming one functor into another while respecting the internal structure (i.e., the composition of morphisms) of the categories involved.
Cohomology and Natural transformation · Natural transformation and Triangulated category ·
Spectrum (topology)
In algebraic topology, a branch of mathematics, a spectrum is an object representing a generalized cohomology theory.
Cohomology and Spectrum (topology) · Spectrum (topology) and Triangulated category ·
Springer Science+Business Media
Springer Science+Business Media or Springer, part of Springer Nature since 2015, is a global publishing company that publishes books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing.
Cohomology and Springer Science+Business Media · Springer Science+Business Media and Triangulated category ·
The list above answers the following questions
- What Cohomology and Triangulated category have in common
- What are the similarities between Cohomology and Triangulated category
Cohomology and Triangulated category Comparison
Cohomology has 186 relations, while Triangulated category has 45. As they have in common 15, the Jaccard index is 6.49% = 15 / (186 + 45).
References
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