Similarities between Cohomology and Differential form
Cohomology and Differential form have 20 things in common (in Unionpedia): Abelian group, Bilinear form, Chain (algebraic topology), Chain complex, De Rham cohomology, Differentiable manifold, Exact sequence, Exterior algebra, Fundamental class, Homology (mathematics), Homotopy, Manifold, Mathematics, Open set, Orientability, Principal bundle, Pullback (differential geometry), Section (fiber bundle), Topology, Vector space.
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 Differential form ·
Bilinear form
In mathematics, more specifically in abstract algebra and linear algebra, a bilinear form on a vector space V is a bilinear map, where K is the field of scalars.
Bilinear form and Cohomology · Bilinear form and Differential form ·
Chain (algebraic topology)
In algebraic topology, a -chain is a formal linear combination of the -cells in a cell complex.
Chain (algebraic topology) and Cohomology · Chain (algebraic topology) and Differential form ·
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 Differential form ·
De Rham cohomology
In mathematics, de Rham cohomology (after Georges de Rham) is a tool belonging both to algebraic topology and to differential topology, capable of expressing basic topological information about smooth manifolds in a form particularly adapted to computation and the concrete representation of cohomology classes.
Cohomology and De Rham cohomology · De Rham cohomology and Differential form ·
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.
Cohomology and Differentiable manifold · Differentiable manifold and Differential form ·
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 · Differential form and Exact sequence ·
Exterior algebra
In mathematics, the exterior product or wedge product of vectors is an algebraic construction used in geometry to study areas, volumes, and their higher-dimensional analogs.
Cohomology and Exterior algebra · Differential form and Exterior algebra ·
Fundamental class
In mathematics, the fundamental class is a homology class associated to an oriented manifold M of dimension n, which corresponds to the generator of the homology group H_n(M;\mathbf)\cong\mathbf.
Cohomology and Fundamental class · Differential form and Fundamental class ·
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.
Cohomology and Homology (mathematics) · Differential form 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.
Cohomology and Homotopy · Differential form and Homotopy ·
Manifold
In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point.
Cohomology and Manifold · Differential form and Manifold ·
Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
Cohomology and Mathematics · Differential form and Mathematics ·
Open set
In topology, an open set is an abstract concept generalizing the idea of an open interval in the real line.
Cohomology and Open set · Differential form and Open set ·
Orientability
In mathematics, orientability is a property of surfaces in Euclidean space that measures whether it is possible to make a consistent choice of surface normal vector at every point.
Cohomology and Orientability · Differential form and Orientability ·
Principal bundle
In mathematics, a principal bundle is a mathematical object that formalizes some of the essential features of the Cartesian product of a space with a group.
Cohomology and Principal bundle · Differential form and Principal bundle ·
Pullback (differential geometry)
Suppose that φ:M→ N is a smooth map between smooth manifolds M and N; then there is an associated linear map from the space of 1-forms on N (the linear space of sections of the cotangent bundle) to the space of 1-forms on M. This linear map is known as the pullback (by φ), and is frequently denoted by φ*.
Cohomology and Pullback (differential geometry) · Differential form and Pullback (differential geometry) ·
Section (fiber bundle)
In the mathematical field of topology, a section (or cross section) of a fiber bundle E is a continuous right inverse of the projection function \pi.
Cohomology and Section (fiber bundle) · Differential form and Section (fiber bundle) ·
Topology
In mathematics, topology (from the Greek τόπος, place, and λόγος, study) is concerned with the properties of space that are preserved under continuous deformations, such as stretching, crumpling and bending, but not tearing or gluing.
Cohomology and Topology · Differential form and Topology ·
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.
Cohomology and Vector space · Differential form and Vector space ·
The list above answers the following questions
- What Cohomology and Differential form have in common
- What are the similarities between Cohomology and Differential form
Cohomology and Differential form Comparison
Cohomology has 186 relations, while Differential form has 118. As they have in common 20, the Jaccard index is 6.58% = 20 / (186 + 118).
References
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