(topology) A topology on a set consisting of all subsets of that set.

(mathematics) The branch of mathematics that uses tools from abstract algebra to study topological spaces.

(Internet) The study of the linked structure of the World Wide Web.

plural of star topology

plural of network topology

plural of ring topology

(algebraic geometry) Originally, a topology applicable to algebraic varieties, such that the closed sets are the variety's algebraic subvarieties; later, a generalisation in which the topological space is the set of prime ideals of a commutative ring and is called the spectrum of the ring.

(topology) subspace topology

(topology) The topology of a subset S of a topological space X which is obtained by considering any subset of S to be an open set if it corresponds to the intersection of S with some open set of X.

(topology) The topology of the real number system generated by a basis which consists of all open balls (in the real number system), which are defined in terms of the one-dimensional Euclidean metric.