adj. Joined or fastened together.adj. Mathematics Not decomposable into two disjoint nonempty open sets.adj. Mathematics Having a continuous path between any two points. Used of a curve, set, or surface.adj. Related by family.adj. Logically or intelligibly ordered or presented; coherent: a stroke that left him incapable of connected speech. adj. Associated with or related to others, especially to influential or important people: a photographer who was well connected in the fashion world.