extension topology
1Extension topology — In topology, a branch of mathematics, an extension topology is a topology placed on the disjoint union of a topological space and another set. There are various types of extension topology, described in the sections below. Contents 1 Extension… …
2Topology — (Greek topos , place, and logos , study ) is the branch of mathematics that studies the properties of a space that are preserved under continuous deformations. Topology grew out of geometry, but unlike geometry, topology is not concerned with… …
3Extension (mathematics) — In mathematics, the word extension has many uses. See:Analysis* Carathéodory s extension theorem * Continuous linear extension * M. Riesz extension theorem * Krein extension theorem * Hahn Banach theoremAlgebra* Abelian extension * Algebraic… …
4Counterexamples in Topology —   Author(s) Lynn Arthur Steen J. Ar …
5Particular point topology — In mathematics, the particular point topology (or included point topology) is a topology where sets are considered open if they are empty or contain a particular, arbitrarily chosen, point of the topological space. Formally, let X be any set and… …
6Excluded point topology — In mathematics, the excluded point topology is a topological structure where exclusion of a particular point defines openness. Let X be any set and pin X. A proper subset of X is open if and only if it does not contain p . There are a variety of… …
7Geospatial topology — Topology In a Geographic Information System GIS, topology is a set of rules which define the relationship between points, lines, and polygons. ESRI enables topology generation within their geodatabase feature classes. Network topology explores… …
8Alexandroff extension — In mathematical field of topology, the Alexandroff extension is a way to extend a noncompact topological space by adjoining a single point in such a way that the resulting space is compact. It is named for the Russian mathematician Pavel… …
9Tietze extension theorem — In topology, the Tietze extension theorem states that, if X is a normal topological space and is a continuous map from a closed subset A of X into the real numbers carrying the standard topology, then there exists a continuous map with F(a) =… …
10List of general topology topics — This is a list of general topology topics, by Wikipedia page. Contents 1 Basic concepts 2 Limits 3 Topological properties 3.1 Compactness and countability …
