In topology, an open set is an abstract concept generalizing the idea of an open interval in the real line. The simplest example is in metric spaces, where open sets can be defined as those sets which contain an open ball around each of their points (or, equivalently, a set is open if it doesn`t contain any of its boundary points); however, an op....
Found on
http://en.wikipedia.org/wiki/Open_set
(from the article `topology`) ...of , (2) the intersection of any finite number of sets in is in , and (3) the union of any collection of sets in is in . The sets in are called ... ...A topological space is a generalization of the notion of an object in three-dimensional space. It consists of an abstract set of points along with ... ...
Found on
http://www.britannica.com/eb/a-z/o/22
No exact match found.
