# Connected

A topological space $(X,\tau)$ is called connected if it is not disconnected.

# Properties

Connected if and only if no proper clopen sets

Separable locally compact Peano space is arcwise connected

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A topological space $(X,\tau)$ is called connected if it is not disconnected.

Connected if and only if no proper clopen sets

Separable locally compact Peano space is arcwise connected

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- This page was last edited on 24 December 2018, at 02:08.