(mathematics) A field that is also a topological space in which addition and multiplication are both continuous.

plural of topological field

(graph theory, computer science) An ordering of the vertices of a directed graph such that if an edge goes from vertex u to vertex v then u precedes v in the ordering.

plural of topological vector space

(functional analysis) A vector space over a topological field endowed with a topology (often the real or complex numbers with standard topology) such that vector addition and scalar multiplication are continuous functions.

(computing) The physical arrangement of a network; the way in which cables are arranged in order to connect computers in a network.

(networking) A (computer) network topology in which the nodes are all connected at different points to a line called a bus.

A physical network topology in which all nodes are connected to a central connectivity device (e.g. a hub).

(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.

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