Faster access than browser!Similarities between Metric space and Metrization theorem
Metric space and Metrization theorem have 19 things in common (in Unionpedia): Compact space, Contraction mapping, First-countable space, Function (mathematics), Hausdorff space, Homeomorphism, Mathematics, Metric (mathematics), Neighbourhood (mathematics), Normal space, Paracompact space, Pavel Urysohn, Product topology, Pseudometric space, Second-countable space, Separable space, Topological space, Tychonoff space, Uniform 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).
Compact space and Metric space · Compact space and Metrization theorem ·
Contraction mapping
In mathematics, a contraction mapping, or contraction or contractor, on a metric space (M,d) is a function f from M to itself, with the property that there is some nonnegative real number 0\leq k such that for all x and y in M, The smallest such value of k is called the Lipschitz constant of f. Contractive maps are sometimes called Lipschitzian maps.
Contraction mapping and Metric space · Contraction mapping and Metrization theorem ·
First-countable space
In topology, a branch of mathematics, a first-countable space is a topological space satisfying the "first axiom of countability".
First-countable space and Metric space · First-countable space and Metrization theorem ·
Function (mathematics)
In mathematics, a function was originally the idealization of how a varying quantity depends on another quantity.
Function (mathematics) and Metric space · Function (mathematics) and Metrization theorem ·
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.
Hausdorff space and Metric space · Hausdorff space and Metrization theorem ·
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.
Homeomorphism and Metric space · Homeomorphism and Metrization theorem ·
Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
Mathematics and Metric space · Mathematics and Metrization theorem ·
Metric (mathematics)
In mathematics, a metric or distance function is a function that defines a distance between each pair of elements of a set.
Metric (mathematics) and Metric space · Metric (mathematics) and Metrization theorem ·
Neighbourhood (mathematics)
In topology and related areas of mathematics, a neighbourhood (or neighborhood) is one of the basic concepts in a topological space.
Metric space and Neighbourhood (mathematics) · Metrization theorem and Neighbourhood (mathematics) ·
Normal space
In topology and related branches of mathematics, a normal space is a topological space X that satisfies Axiom T4: every two disjoint closed sets of X have disjoint open neighborhoods.
Metric space and Normal space · Metrization theorem and Normal space ·
Paracompact space
In mathematics, a paracompact space is a topological space in which every open cover has an open refinement that is locally finite.
Metric space and Paracompact space · Metrization theorem and Paracompact space ·
Pavel Urysohn
Pavel Samuilovich Urysohn (Па́вел Самуи́лович Урысо́н) (February 3, 1898 – August 17, 1924) was a Soviet mathematician of Jewish origin who is best known for his contributions in dimension theory, and for developing Urysohn's Metrization Theorem and Urysohn's Lemma, both of which are fundamental results in topology.
Metric space and Pavel Urysohn · Metrization theorem and Pavel Urysohn ·
Product topology
In topology and related areas of mathematics, a product space is the cartesian product of a family of topological spaces equipped with a natural topology called the product topology.
Metric space and Product topology · Metrization theorem and Product topology ·
Pseudometric space
In mathematics, a pseudometric space is a generalized metric space in which the distance between two distinct points can be zero.
Metric space and Pseudometric space · Metrization theorem and Pseudometric space ·
Second-countable space
In topology, a second-countable space, also called a completely separable space, is a topological space whose topology has a countable base.
Metric space and Second-countable space · Metrization theorem and Second-countable space ·
Separable space
In mathematics, a topological space is called separable if it contains a countable, dense subset; that is, there exists a sequence \_^ of elements of the space such that every nonempty open subset of the space contains at least one element of the sequence.
Metric space and Separable space · Metrization theorem and Separable 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.
Metric space and Topological space · Metrization theorem and Topological space ·
Tychonoff space
In topology and related branches of mathematics, Tychonoff spaces and completely regular spaces are kinds of topological spaces.
Metric space and Tychonoff space · Metrization theorem and Tychonoff space ·
Uniform space
In the mathematical field of topology, a uniform space is a set with a uniform structure.
Metric space and Uniform space · Metrization theorem and Uniform space ·
The list above answers the following questions
- What Metric space and Metrization theorem have in common
- What are the similarities between Metric space and Metrization theorem
Metric space and Metrization theorem Comparison
Metric space has 167 relations, while Metrization theorem has 42. As they have in common 19, the Jaccard index is 9.09% = 19 / (167 + 42).
References
This article shows the relationship between Metric space and Metrization theorem. To access each article from which the information was extracted, please visit:
