Definitions from Wiktionary ( )

▸ adjective:  (usually with "well-"): Having favorable rapport with a powerful entity.
▸ adjective:  Having relationships; involved with others.
▸ adjective:  (Canada, US) Involved with organized crime, specifically someone not (yet) working for a crime organization, but referred to as a "friend" by made guys/wise guys inside the organization.
▸ adjective:  Intimate; having bonds of affection.
▸ adjective:  (mathematics, topology, of a topological space) That cannot be partitioned into two nonempty open sets.
▸ adjective:  (mathematics, graph theory, of a graph) Having a path, either directed or undirected, connecting every pair of vertices.
▸ adjective:  Having or supporting connections, especially when through technology such as networking software or a transportation network.

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