# Empty+space

81

**Probability space**— This article is about mathematical term. For the novel, see Probability Space (novel). In probability theory, a probability space or a probability triple is a mathematical construct that models a real world process (or experiment ) consisting of… …82

**The Empty Child**— 164a – The Empty Child Doctor Who episode Doctor Constantine succumbs to the same symptoms his patients exhibit. Cast …83

**Metric space**— In mathematics, a metric space is a set where a notion of distance (called a metric) between elements of the set is defined. The metric space which most closely corresponds to our intuitive understanding of space is the 3 dimensional Euclidean… …84

**Complete metric space**— Cauchy completion redirects here. For the use in category theory, see Karoubi envelope. In mathematical analysis, a metric space M is called complete (or Cauchy) if every Cauchy sequence of points in M has a limit that is also in M or,… …85

**Cantor space**— In mathematics, the term Cantor space is sometimes used to denotethe topological abstraction of the classical Cantor set:A topological space is aCantor space if it is homeomorphic to the Cantor set.The Cantor set itself is of course a Cantor… …86

**Mitsubishi Space Star**— Mitsubishi Space Star …87

**Approach space**— In topology, approach spaces are a generalization of metric spaces, based on point to set distances, instead of point to point distances. They were introduced by [http://www.math.ua.ac.be/TOP/ Robert Lowen] in 1989.DefinitionGiven a metric space… …88

**Locally compact space**— In topology and related branches of mathematics, a topological space is called locally compact if, roughly speaking, each small portion of the space looks like a small portion of a compact space.Formal definitionLet X be a topological space. The… …89

**Discrete space**— In topology, a discrete space is a particularly simple example of a topological space or similar structure, one in which the points are isolated from each other in a certain sense. Contents 1 Definitions 2 Properties 3 Uses …90

**Homogeneous space**— In mathematics, particularly in the theories of Lie groups, algebraic groups and topological groups, a homogeneous space for a group G is a non empty manifold or topological space X on which G acts continuously by symmetry in a transitive way. A… …