Presumably from the adjective Hausdorff.
"hausdorffness." YourDictionary, n.d. Web. 20 January 2019. <https://www.yourdictionary.com/hausdorffness>.
hausdorffness. (n.d.). Retrieved January 20th, 2019, from https://www.yourdictionary.com/hausdorffness
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