Connected Hausdorff space

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This article describes a property of topological spaces obtained as a conjunction of the following two properties: connectedness and Hausdorffness

This is a variation of connectedness. View other variations of connectedness
This is a variation of Hausdorffness. View other variations of Hausdorffness

Definition

A connected Hausdorff space is a topological space which is both connected and Hausdorff.

Facts

There do exist countably infinite connected Hausdorff spaces.