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# Metric space/Related Articles  Main Article Discussion Related Articles  [?] Bibliography  [?] External Links  [?] Citable Version  [?] A list of Citizendium articles, and planned articles, about 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

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• 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]