Meaning of connected

con•nect•ed

1. united, joined, or linked.
2. having a connection.
3. joined together in sequence; linked coherently: connected ideas.
4. related by family ties.
5. having social or professional relationships, esp. with influential or powerful persons.
6. pertaining to a set for which no cover exists, consisting of two open sets whose intersections with the given set are disjoint and nonempty.