Connected space

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Spaces in General Topology

Connected spaces are spaces in general topology.

Chinese name: Connected space

Foreign name: connected space
Discipline: General topology

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Let (X, τ) be topological space , if (X, τ) except empty set If there is no open and closed subset outside of X, then (X, τ) is called Connected space 。

Equivalence is defined as

If X cannot be expressed as the union of two disjoint non empty open sets.^[1]

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Typical connected spaces are

。

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