closed topology
51Poset topology — In mathematics, the poset topology associated with a partially ordered set S (or poset for short) is the Alexandrov topology (open sets are upper sets) on the poset of finite chains of S, ordered by inclusion. Let V be a set of vertices. An… …
52Overlapping interval topology — Not to be confused with Interlocking interval topology. In mathematics, the overlapping interval topology is a topology which is used to illustrate various topological principles. Definition Given the closed interval [ − 1,1] of the real number… …
53Directed algebraic topology — In mathematics, directed algebraic topology is a form of algebraic topology that studies topological spaces equipped with a family of directed paths, closed under some operations. The term d space is applied to these spaces. Directed algebraic… …
54Fork (topology) — The notion of a fork appears in the characterization of graphs, including network topology, and topological spaces.A graph has a fork in any vertex which is connected by three or more edges. Correspondingly, a topological space is said to have a… …
55Moore space (topology) — In mathematics, more specifically point set topology, a Moore space is a developable regular Hausdorff space. Equivalently, a topological space X is a Moore space if the following conditions hold: Any two distinct points can be separated by… …
56Continuum (topology) — In the mathematical field of point set topology, a continuum (pl continua) is a nonempty compact connected metric space, or less frequently, a compact connected Hausdorff topological space. Continuum theory is the branch of topology devoted to… …
57Hjalmar Ekdal topology — In mathematics, the Hjalmar Ekdal topology is a special example in the theory of topological spaces. [Citation | last1=Steen | first1=Lynn Arthur | author1 link=Lynn Arthur Steen | last2=Seebach | first2=J. Arthur Jr. | author2 link=J. Arthur… …
58Frobenius theorem (differential topology) — In mathematics, Frobenius theorem gives necessary and sufficient conditions for finding a maximal set of independent solutions of an overdetermined system of first order homogeneous linear partial differential equations. In modern geometric terms …
59Chain (algebraic topology) — This article is about algebraic topology. For the term chain in order theory, see chain (order theory). In algebraic topology, a simplicial k chain is a formal linear combination of k simplices.[1] Integration on chains Integration is defined on… …
60Development (topology) — In the mathematical field of topology, a development is a countable collection of open covers of a topological space that satisfies certain separation axioms. Let X be a topological space. A development for X is a countable collection of open… …
