Connected space

Topological space that is connected

In topology and related branches of mathematics, a connected space is a topological space that cannot be represented as the union of two or more disjoint non-empty open subsets. Connectedness is one of the principal topological properties that distinguish topological spaces. A subset of a topological space X {\displaystyle X} is a connected set if it is a connected space when viewed as a subspace of X {\displaystyle X} .

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