(mathematics) Any topological space which cannot be written as the disjoint union of two or more nonempty open spaces.

plural of connected space

(graph theory) Of a directed graph, such that for every pair of vertices u and v there is a path from u to v and a path from v to u.

(topology and graph theory) A connected subset that is, moreover, maximal with respect to being connected.

plural of Galois connection

(category theory, order theory) A type of correspondence between partially ordered sets (posets), also applicable to preordered sets.

plural of loose connection

A UK-based global retailer and wholesaler of fashion clothing, accessories and homeware.

Synonym of joined at the hip

(of a topological space) Such that every pair of points in the space comprises the boundary of some path mapped to the space continuously.