Faster access than browser!Similarities between Equicontinuity and Metric space
Equicontinuity and Metric space have 11 things in common (in Unionpedia): Banach space, Continuous function, Countable set, First-countable space, Heine–Borel theorem, Lipschitz continuity, Neighbourhood (mathematics), Topological space, Uniform continuity, Uniform norm, Uniform space.
Banach space
In mathematics, more specifically in functional analysis, a Banach space (pronounced) is a complete normed vector space.
Banach space and Equicontinuity · Banach space and Metric space ·
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.
Continuous function and Equicontinuity · Continuous function and Metric space ·
Countable set
In mathematics, a countable set is a set with the same cardinality (number of elements) as some subset of the set of natural numbers.
Countable set and Equicontinuity · Countable set and Metric space ·
First-countable space
In topology, a branch of mathematics, a first-countable space is a topological space satisfying the "first axiom of countability".
Equicontinuity and First-countable space · First-countable space and Metric space ·
Heine–Borel theorem
In real analysis the Heine–Borel theorem, named after Eduard Heine and Émile Borel, states: For a subset S of Euclidean space Rn, the following two statements are equivalent.
Equicontinuity and Heine–Borel theorem · Heine–Borel theorem and Metric space ·
Lipschitz continuity
In mathematical analysis, Lipschitz continuity, named after Rudolf Lipschitz, is a strong form of uniform continuity for functions.
Equicontinuity and Lipschitz continuity · Lipschitz continuity and Metric space ·
Neighbourhood (mathematics)
In topology and related areas of mathematics, a neighbourhood (or neighborhood) is one of the basic concepts in a topological space.
Equicontinuity and Neighbourhood (mathematics) · Metric space and Neighbourhood (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.
Equicontinuity and Topological space · Metric space and Topological space ·
Uniform continuity
In mathematics, a function f is uniformly continuous if, roughly speaking, it is possible to guarantee that f(x) and f(y) be as close to each other as we please by requiring only that x and y are sufficiently close to each other; unlike ordinary continuity, the maximum distance between f(x) and f(y) cannot depend on x and y themselves.
Equicontinuity and Uniform continuity · Metric space and Uniform continuity ·
Uniform norm
In mathematical analysis, the uniform norm (or sup norm) assigns to real- or complex-valued bounded functions f defined on a set S the non-negative number This norm is also called the supremum norm, the Chebyshev norm, or the infinity norm. The name "uniform norm" derives from the fact that a sequence of functions \ converges to f under the metric derived from the uniform norm if and only if f_n converges to f uniformly.
Equicontinuity and Uniform norm · Metric space and Uniform norm ·
Uniform space
In the mathematical field of topology, a uniform space is a set with a uniform structure.
Equicontinuity and Uniform space · Metric space and Uniform space ·
The list above answers the following questions
- What Equicontinuity and Metric space have in common
- What are the similarities between Equicontinuity and Metric space
Equicontinuity and Metric space Comparison
Equicontinuity has 31 relations, while Metric space has 167. As they have in common 11, the Jaccard index is 5.56% = 11 / (31 + 167).
References
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