Weak Hausdorff space

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In mathematics, a weak Hausdorff space is a topological space where the image of every continuous map from a compact Hausdorff space into the space is closed.^[1] In particular, every Hausdorff space is weak Hausdorff.

The notion was introduced by M. C. McCord ^[2] to remedy an inconvenience of working with the category of Hausdorff spaces. It is often used in tandem with compactly generated spaces in algebraic topology.

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