plural of topological field

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

(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.

(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.

plural of topological vector space

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

(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.