A determination theorem in terms of the metric slope

Daniilidis, Aris; Salas, David

doi:10.1090/proc/15958

A determination theorem in terms of the metric slope
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by Aris Daniilidis and David Salas PDF

Proc. Amer. Math. Soc. 150 (2022), 4325-4333 Request permission

Abstract:

We show that in a metric space, any continuous function with compact sublevel sets and finite metric slope is uniquely determined by the slope and its critical values.

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