# Difference between revisions of "Connected"

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[[Connected if and only if no proper clopen sets]]<br /> | [[Connected if and only if no proper clopen sets]]<br /> | ||

[[Separable locally compact Peano space is arcwise connected]]<br /> | [[Separable locally compact Peano space is arcwise connected]]<br /> | ||

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+ | [[Category:Definition]] |

## Latest revision as of 02:08, 24 December 2018

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