RhymeZone: hyperconnected definitions

Definitions of hyperconnected:

adjective: (mathematics, of a topological space) That is not the union of two proper closed sets; such that every open set is dense.
adjective: (mathematics, of a graph) Having an edge set that spans a matroid defined on its edges via exterior algebra.
adjective: Making intense use of telecommunications networks.
adjective: Connected by hyperlinks.
adjective: Containing an unusually large number of connections.

(Definitions from Wiktionary)