Unicoherent
From Free net encyclopedia
A topological space <math>X</math> is said to be unicoherent if it is connected and the following property holds:
For any closed, connected <math>A, B \subset X</math> with <math>X=A \cup B</math>, the intersection <math>A \cap B</math> is connected.
For example, any closed interval on the real line is unicoherent, but a circle is not.
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References
Eric W. Weisstein et al. "Unicoherent Space." From MathWorld--A Wolfram Web Resource. [1]
