Characterization for Cauchy Continuity and Sufficiency of Sequences

https://doi.org/10.65770/FUKV4767 ABSTRACT A function from a metric space to a metric space preserves Cauchy sequences if and only if it is uniformly continuous on every totally bounded subset of the domain; or equivalently, if and only if it is uniformly continuous on every subset whose members are the terms of a Cauchy sequence in the […] The post Characterization for Cauchy Continuity and…