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On minimal Hausdorff and minimal Urysohn functions

Filippo Cammaroto; Andrei Catalioto; Jack Porter — 2011

Open Mathematics

In this article, we extend the work on minimal Hausdorff functions initiated by Cammaroto, Fedorchuk and Porter in a 1998 paper. Also, minimal Urysohn functions are introduced and developed. The properties of heredity and productivity are examined and developed for both minimal Hausdorff and minimal Urysohn functions.

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