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A topological space X is said to be unicoherent if it is connected and the following property holds: Wikipedia does not have an article with this exact name. ... Topological spaces are structures that allow one to formalize concepts such as convergence, connectedness and continuity. ... In topology and related branches of mathematics, a topological space X is said to be disconnected if it is the union of two disjoint nonempty open sets. ...

For any partition of X into closed sets , the intersection is connected.