Similarities between 3-manifold and Space (mathematics)
3-manifold and Space (mathematics) have 14 things in common (in Unionpedia): Compact space, Continuous function, Dimension, Euclidean space, Hausdorff space, Homeomorphism, Hyperbolic geometry, Isomorphism, Lens space, Manifold, Mathematics, Teichmüller space, Topological space, Vector space.
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 Space (mathematics) ·
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 Space (mathematics) ·
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.
3-manifold and Dimension · Dimension and Space (mathematics) ·
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 Space (mathematics) ·
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 Space (mathematics) ·
Homeomorphism
In the mathematical field of topology, a homeomorphism or topological isomorphism or bi continuous function is a continuous function between topological spaces that has a continuous inverse function.
3-manifold and Homeomorphism · Homeomorphism and Space (mathematics) ·
Hyperbolic geometry
In mathematics, hyperbolic geometry (also called Bolyai–Lobachevskian geometry or Lobachevskian geometry) is a non-Euclidean geometry.
3-manifold and Hyperbolic geometry · Hyperbolic geometry and Space (mathematics) ·
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 · Isomorphism and Space (mathematics) ·
Lens space
A lens space is an example of a topological space, considered in mathematics.
3-manifold and Lens space · Lens space and Space (mathematics) ·
Manifold
In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point.
3-manifold and Manifold · Manifold and Space (mathematics) ·
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 · Mathematics and Space (mathematics) ·
Teichmüller space
In mathematics, the Teichmüller space T(S) of a (real) topological (or differential) surface S, is a space that parametrizes complex structures on S up to the action of homeomorphisms that are isotopic to the identity homeomorphism.
3-manifold and Teichmüller space · Space (mathematics) and Teichmüller space ·
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 · Space (mathematics) 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.
3-manifold and Vector space · Space (mathematics) and Vector space ·
The list above answers the following questions
- What 3-manifold and Space (mathematics) have in common
- What are the similarities between 3-manifold and Space (mathematics)
3-manifold and Space (mathematics) Comparison
3-manifold has 185 relations, while Space (mathematics) has 117. As they have in common 14, the Jaccard index is 4.64% = 14 / (185 + 117).
References
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