metrizable uniformity

См. также в других словарях:

• Uniformizable space — In mathematics, a topological space X is uniformizable if there exists a uniform structure on X which induces the topology of X . Equivalently, X is uniformizable if and only if it is homeomorphic to a uniform space (equipped with the topology… …   Wikipedia

• Uniform space — In the mathematical field of topology, a uniform space is a set with a uniform structure. Uniform spaces are topological spaces with additional structure which is used to define uniform properties such as completeness, uniform continuity and… …   Wikipedia

• 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 …   Wikipedia

• Completely uniformizable space — In mathematics, a topological space (X, T) is called completely uniformizable (or Dieudonné complete or topologically complete) if there exists at least one complete uniformity that induces the topology T. Some authors additionally require X to… …   Wikipedia

• 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… …   Wikipedia

• Finite topological space — In mathematics, a finite topological space is a topological space for which the underlying point set is finite. That is, it is a topological space for which there are only finitely many points.While topology is mostly interesting only for… …   Wikipedia