Faster access than browser!Similarities between Chain complex and Cohomology
Chain complex and Cohomology have 24 things in common (in Unionpedia): Abelian category, Abelian group, Abstract algebra, Algebraic geometry, Algebraic topology, Cambridge University Press, Category (mathematics), Differentiable manifold, Differential form, Free abelian group, Homological algebra, Homology (mathematics), Homotopy, Mathematics, Module (mathematics), N-sphere, Natural transformation, Real number, Simplicial complex, Simplicial homology, Singular homology, Springer Science+Business Media, Topological space, Vector space.
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 Chain complex · Abelian category and Cohomology ·
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 Chain complex · Abelian group and Cohomology ·
Abstract algebra
In algebra, which is a broad division of mathematics, abstract algebra (occasionally called modern algebra) is the study of algebraic structures.
Abstract algebra and Chain complex · Abstract algebra and Cohomology ·
Algebraic geometry
Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate polynomials.
Algebraic geometry and Chain complex · Algebraic geometry and Cohomology ·
Algebraic topology
Algebraic topology is a branch of mathematics that uses tools from abstract algebra to study topological spaces.
Algebraic topology and Chain complex · Algebraic topology and Cohomology ·
Cambridge University Press
Cambridge University Press (CUP) is the publishing business of the University of Cambridge.
Cambridge University Press and Chain complex · Cambridge University Press and Cohomology ·
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 Chain complex · Category (mathematics) and Cohomology ·
Differentiable manifold
In mathematics, a differentiable manifold (also differential manifold) is a type of manifold that is locally similar enough to a linear space to allow one to do calculus.
Chain complex and Differentiable manifold · Cohomology and Differentiable manifold ·
Differential form
In the mathematical fields of differential geometry and tensor calculus, differential forms are an approach to multivariable calculus that is independent of coordinates.
Chain complex and Differential form · Cohomology and Differential form ·
Free abelian group
In abstract algebra, a free abelian group or free Z-module is an abelian group with a basis.
Chain complex and Free abelian group · Cohomology and Free abelian group ·
Homological algebra
Homological algebra is the branch of mathematics that studies homology in a general algebraic setting.
Chain complex and Homological algebra · Cohomology and Homological algebra ·
Homology (mathematics)
In mathematics, homology is a general way of associating a sequence of algebraic objects such as abelian groups or modules to other mathematical objects such as topological spaces.
Chain complex and Homology (mathematics) · Cohomology and Homology (mathematics) ·
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.
Chain complex and Homotopy · Cohomology and Homotopy ·
Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
Chain complex and Mathematics · Cohomology and Mathematics ·
Module (mathematics)
In mathematics, a module is one of the fundamental algebraic structures used in abstract algebra.
Chain complex and Module (mathematics) · Cohomology and Module (mathematics) ·
N-sphere
In mathematics, the n-sphere is the generalization of the ordinary sphere to spaces of arbitrary dimension.
Chain complex and N-sphere · Cohomology and N-sphere ·
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.
Chain complex and Natural transformation · Cohomology and Natural transformation ·
Real number
In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.
Chain complex and Real number · Cohomology and Real number ·
Simplicial complex
In mathematics, a simplicial complex is a set composed of points, line segments, triangles, and their ''n''-dimensional counterparts (see illustration).
Chain complex and Simplicial complex · Cohomology and Simplicial complex ·
Simplicial homology
In algebraic topology, simplicial homology formalizes the idea of the number of holes of a given dimension in a simplicial complex.
Chain complex and Simplicial homology · Cohomology and Simplicial homology ·
Singular homology
In algebraic topology, a branch of mathematics, singular homology refers to the study of a certain set of algebraic invariants of a topological space X, the so-called homology groups H_n(X).
Chain complex and Singular homology · Cohomology and Singular homology ·
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.
Chain complex and Springer Science+Business Media · Cohomology and Springer Science+Business Media ·
Topological space
In topology and related branches of mathematics, a topological space may be defined as a set of points, along with a set of neighbourhoods for each point, satisfying a set of axioms relating points and neighbourhoods.
Chain complex and Topological space · Cohomology and Topological space ·
Vector space
A vector space (also called a linear space) is a collection of objects called vectors, which may be added together and multiplied ("scaled") by numbers, called scalars.
Chain complex and Vector space · Cohomology and Vector space ·
The list above answers the following questions
- What Chain complex and Cohomology have in common
- What are the similarities between Chain complex and Cohomology
Chain complex and Cohomology Comparison
Chain complex has 48 relations, while Cohomology has 186. As they have in common 24, the Jaccard index is 10.26% = 24 / (48 + 186).
References
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