In topology, the closure of a subset S of points in a topological space consists of all points in S together with all limit points of S. The closure of...

In mathematics, specifically in topology, the interior of a subset S of a topological space X is the union of all subsets of S that are open in X. A point...

In topology and mathematics in general, the boundary of a subset S of a topological space X is the set of points in the closure of S not belonging to the...

In topology, an Alexandrov topology is a topology in which the intersection of every family of open sets is open. It is an axiom of topology that the...

mathematics, an order topology is a specific topology that can be defined on any totally ordered set. It is a natural generalization of the topology of the real...

An element of the closure of a set S is a point of closure of S. Closure operator See Kuratowski closure axioms. Coarser topology If X is a set, and...

operators", which prevents confusion with the "closure operators" studied in topology. E. H. Moore studied closure operators in his 1910 Introduction to a form...

axioms for its use in database theory Closure (mathematics), the result of applying a closure operator Closure (topology), for a set, the smallest closed set...

general topology topics. Topological space Topological property Open set, closed set Clopen set Closure (topology) Boundary (topology) Dense (topology) G-delta...

In topology and related branches of mathematics, the Kuratowski closure axioms are a set of axioms that can be used to define a topological structure on...