Faster access than browser!Similarities between 3-manifold and Homeomorphism
3-manifold and Homeomorphism have 19 things in common (in Unionpedia): Ball (mathematics), Compact space, Continuous function, Diffeomorphism, Euclidean space, Hausdorff space, Henri Poincaré, Homotopy, Isomorphism, Manifold, Mathematics, Neighbourhood (mathematics), Plane (geometry), Poincaré conjecture, Sphere, Topological space, Topology, Torus, Unit circle.
Ball (mathematics)
In mathematics, a ball is the space bounded by a sphere.
3-manifold and Ball (mathematics) · Ball (mathematics) and Homeomorphism ·
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).
3-manifold and Compact space · Compact space and Homeomorphism ·
Continuous function
In mathematics, a continuous function is a function for which sufficiently small changes in the input result in arbitrarily small changes in the output.
3-manifold and Continuous function · Continuous function and Homeomorphism ·
Diffeomorphism
In mathematics, a diffeomorphism is an isomorphism of smooth manifolds.
3-manifold and Diffeomorphism · Diffeomorphism and Homeomorphism ·
Euclidean space
In geometry, Euclidean space encompasses the two-dimensional Euclidean plane, the three-dimensional space of Euclidean geometry, and certain other spaces.
3-manifold and Euclidean space · Euclidean space and Homeomorphism ·
Hausdorff space
In topology and related branches of mathematics, a Hausdorff space, separated space or T2 space is a topological space in which distinct points have disjoint neighbourhoods.
3-manifold and Hausdorff space · Hausdorff space and Homeomorphism ·
Henri Poincaré
Jules Henri Poincaré (29 April 1854 – 17 July 1912) was a French mathematician, theoretical physicist, engineer, and philosopher of science.
3-manifold and Henri Poincaré · Henri Poincaré and Homeomorphism ·
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.
3-manifold and Homotopy · Homeomorphism and Homotopy ·
Isomorphism
In mathematics, an isomorphism (from the Ancient Greek: ἴσος isos "equal", and μορφή morphe "form" or "shape") is a homomorphism or morphism (i.e. a mathematical mapping) that can be reversed by an inverse morphism.
3-manifold and Isomorphism · Homeomorphism and Isomorphism ·
Manifold
In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point.
3-manifold and Manifold · Homeomorphism and Manifold ·
Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
3-manifold and Mathematics · Homeomorphism and Mathematics ·
Neighbourhood (mathematics)
In topology and related areas of mathematics, a neighbourhood (or neighborhood) is one of the basic concepts in a topological space.
3-manifold and Neighbourhood (mathematics) · Homeomorphism and Neighbourhood (mathematics) ·
Plane (geometry)
In mathematics, a plane is a flat, two-dimensional surface that extends infinitely far.
3-manifold and Plane (geometry) · Homeomorphism and Plane (geometry) ·
Poincaré conjecture
In mathematics, the Poincaré conjecture is a theorem about the characterization of the 3-sphere, which is the hypersphere that bounds the unit ball in four-dimensional space.
3-manifold and Poincaré conjecture · Homeomorphism and Poincaré conjecture ·
Sphere
A sphere (from Greek σφαῖρα — sphaira, "globe, ball") is a perfectly round geometrical object in three-dimensional space that is the surface of a completely round ball (viz., analogous to the circular objects in two dimensions, where a "circle" circumscribes its "disk").
3-manifold and Sphere · Homeomorphism and Sphere ·
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.
3-manifold and Topological space · Homeomorphism and Topological space ·
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.
3-manifold and Topology · Homeomorphism and Topology ·
Torus
In geometry, a torus (plural tori) is a surface of revolution generated by revolving a circle in three-dimensional space about an axis coplanar with the circle.
3-manifold and Torus · Homeomorphism and Torus ·
Unit circle
In mathematics, a unit circle is a circle with a radius of one.
3-manifold and Unit circle · Homeomorphism and Unit circle ·
The list above answers the following questions
- What 3-manifold and Homeomorphism have in common
- What are the similarities between 3-manifold and Homeomorphism
3-manifold and Homeomorphism Comparison
3-manifold has 185 relations, while Homeomorphism has 71. As they have in common 19, the Jaccard index is 7.42% = 19 / (185 + 71).
References
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