(computing) A network topology in which, in the physical case, every node of a network is connected to exactly two other nodes: one node designated as upstream and the other as downstream. A given node receives data from its upstream node and sends data to its downstream node.

(topology, formally) An ordered pair (X, τ), where X is a set and τ, called the topology, is a collection of subsets of X which satisfies certain axioms and whose elements are called the open sets (or alternatively, for a different set of axioms, the closed sets);

(topology) A group which is also a topological space and whose group operations are continuous functions.

plural of topological group

plural of topological space

(mathematics) Field dealing with differentiable functions on differentiable manifolds.

(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.

(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.