Faster access than browser!Similarities between Cohomology and Differentiable manifold
Cohomology and Differentiable manifold have 21 things in common (in Unionpedia): Algebraic geometry, Compact space, De Rham cohomology, Differential form, Dimension, Dual space, Equivalence class, Exterior algebra, Functor, Hassler Whitney, Holomorphic function, Homotopy, Intersection theory, Manifold, Morphism of algebraic varieties, Orientability, Principal bundle, Sheaf (mathematics), Topological space, Vector bundle, Vector space.
Algebraic geometry
Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate polynomials.
Algebraic geometry and Cohomology · Algebraic geometry and Differentiable manifold ·
Compact space
In mathematics, and more specifically in general topology, compactness is a property that generalizes the notion of a subset of Euclidean space being closed (that is, containing all its limit points) and bounded (that is, having all its points lie within some fixed distance of each other).
Cohomology and Compact space · Compact space and Differentiable manifold ·
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 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.
Cohomology and Differential form · Differentiable manifold and Differential form ·
Dimension
In physics and mathematics, the dimension of a mathematical space (or object) is informally defined as the minimum number of coordinates needed to specify any point within it.
Cohomology and Dimension · Differentiable manifold and Dimension ·
Dual space
In mathematics, any vector space V has a corresponding dual vector space (or just dual space for short) consisting of all linear functionals on V, together with the vector space structure of pointwise addition and scalar multiplication by constants.
Cohomology and Dual space · Differentiable manifold and Dual space ·
Equivalence class
In mathematics, when the elements of some set S have a notion of equivalence (formalized as an equivalence relation) defined on them, then one may naturally split the set S into equivalence classes.
Cohomology and Equivalence class · Differentiable manifold and Equivalence class ·
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 · Differentiable manifold and Exterior algebra ·
Functor
In mathematics, a functor is a map between categories.
Cohomology and Functor · Differentiable manifold and Functor ·
Hassler Whitney
Hassler Whitney (March 23, 1907 – May 10, 1989) was an American mathematician.
Cohomology and Hassler Whitney · Differentiable manifold and Hassler Whitney ·
Holomorphic function
In mathematics, a holomorphic function is a complex-valued function of one or more complex variables that is complex differentiable in a neighborhood of every point in its domain.
Cohomology and Holomorphic function · Differentiable manifold and Holomorphic function ·
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 · Differentiable manifold and Homotopy ·
Intersection theory
In mathematics, intersection theory is a branch of algebraic geometry, where subvarieties are intersected on an algebraic variety, and of algebraic topology, where intersections are computed within the cohomology ring.
Cohomology and Intersection theory · Differentiable manifold and Intersection theory ·
Manifold
In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point.
Cohomology and Manifold · Differentiable manifold and Manifold ·
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 · Differentiable manifold and Morphism of algebraic varieties ·
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 · Differentiable manifold 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 · Differentiable manifold and Principal bundle ·
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) · Differentiable manifold and Sheaf (mathematics) ·
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.
Cohomology and Topological space · Differentiable manifold and Topological space ·
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 · Differentiable manifold and Vector bundle ·
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 · Differentiable manifold and Vector space ·
The list above answers the following questions
- What Cohomology and Differentiable manifold have in common
- What are the similarities between Cohomology and Differentiable manifold
Cohomology and Differentiable manifold Comparison
Cohomology has 186 relations, while Differentiable manifold has 216. As they have in common 21, the Jaccard index is 5.22% = 21 / (186 + 216).
References
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