# Metric space/Related Articles

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A list of Citizendium articles, and planned articles, about Metric space.
See also changes related to Metric space, or pages that link to Metric space or to this page or whose text contains "Metric space".

## Parent topics

• Space (mathematics) [r]: A set with some added structure, which often form a hierarchy, i.e., one space may inherit all the characteristics of a parent space. [e]

## Bot-suggested topics

Auto-populated based on Special:WhatLinksHere/Metric space. Needs checking by a human.

• Bounded set [r]: A set for which there is a constant C such that the norm of all elements in the set is less than C. [e]
• Category theory [r]: Loosely speaking, a class of objects and a collection of morphisms which act upon them; the morphisms can be composed, the composition is associative and there are identity objects and rules of identity. [e]
• Cauchy sequence [r]: Sequence in which the distance between two elements becomes smaller and smaller. [e]
• Compact space [r]: A toplogical space for which every covering with open sets has a finite subcovering. [e]
• Compactness axioms [r]: Properties of a toplogical space related to compactness. [e]
• Complete metric space [r]: Property of spaces in which every Cauchy sequence converges to an element of the space. [e]
• Continuity [r]: Property of a function for which small changes in the argument of the function lead to small changes in the value of the function. [e]
• Discrete metric [r]: The metric on a space which assigns distance one to any distinct points, inducing the discrete topology. [e]
• Geometry [r]: The mathematics of spacial concepts. [e]
• Heine–Borel theorem [r]: In Euclidean space of finite dimension with the usual topology, a subset is compact if and only if it is closed and bounded. [e]
• Inner product [r]: A bilinear or sesquilinear form on a vector space generalising the dot product in Euclidean spaces. [e]
• Limit point [r]: A point which cannot be separated from a given subset of a topological space; all neighbourhoods of the points intersect the set. [e]
• Metric [r]: Add brief definition or description
• Neighbourhood (topology) [r]: In a topological space, a set containing a given point in its interior, expressing the idea of points "near" this point. [e]
• Norm (mathematics) [r]: A function on a vector space that generalises the notion of the distance from a point of a Euclidean space to the origin. [e]
• P-adic metric [r]: A metric on the rationals in which numbers are close to zero if they are divisible by a large power of a given prime p. [e]
• Rational number [r]: A number that can be expressed as a ratio of two integers. [e]
• Real number [r]: A limit of the Cauchy sequence of rational numbers. [e]
• Space (mathematics) [r]: A set with some added structure, which often form a hierarchy, i.e., one space may inherit all the characteristics of a parent space. [e]
• Topological space [r]: A mathematical structure (generalizing some aspects of Euclidean space) defined by a family of open sets. [e]
• Totally bounded set [r]: A subset of a metric space with the property that for any positive radius it is coveted by a finite union of open balls of given radius. [e]
• Triangle inequality [r]: Inequality which states that for any triangle, the length of a given side must be less than or equal to the sum of the other two sides but greater than or equal to the difference between the two sides. [e]
• Uniform space [r]: Topological space with additional structure which is used to define uniform properties such as completeness, uniform continuity and uniform convergence. [e]