An illustration of the w:Sorgenfrey plane, showing the anti-diagonal in blue and a typical open rectangle in red. The open rectangle meets the anti-diagonal at a single point; such rectangles can be used to show that the anti-diagonal is an uncountablediscrete subspace of the Sorgenfrey plane, and hence that separability does not inherit to subspaces.
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An illustration of the Sorgenfrey plane, showing the anti-diagonal in blue and a typical open rectangle in red. The open rectangle meets the anti-diagonal at a single point; such rectangles can be used to show that the anti-diagonal is an [[uncounta