In mathematics, a unicoherent space is a topological space X {\displaystyle X} that is connected and in which the following property holds: For any closed, connected A , B ⊂ X {\displaystyle A,B\subset X} with X = A ∪ B {\displaystyle X=A\cup B} , the intersection A ∩ B {\displaystyle A\cap B} is connected. For example, any closed interval on the real line is unicoherent, but a circle is not.
In mathematics, a unicoherent space is a topological space X {\displaystyle X} that is connected and in which the following property holds: For any closed, connected A , B ⊂ X {\displaystyle A,B\subset X} with X = A ∪ B {\displaystyle X=A\cup B} , the intersection A ∩ B {\displaystyle A\cap B} is connected. For example, any closed interval on the real line is unicoherent, but a circle is not.
Source: Wikipedia "Unicoherent space" · CC BY-SA 4.0
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