Garrido Carballo, María Isabel2023-06-192023-06-192014Beer, Gerald, y M. I. Garrido. «BORNOLOGIES AND LOCALLY LIPSCHITZ FUNCTIONS». Bulletin of the Australian Mathematical Society, vol. 90, n.o 2, octubre de 2014, pp. 257-63. DOI.org (Crossref), https://doi.org/10.1017/S0004972714000215.0004-972710.1017/S0004972714000215https://hdl.handle.net/20.500.14352/33803Let hX, di be a metric space. We characterise the family of subsets of X on which each locally Lipschitz function defined on X is bounded, as well as the family of subsets on which each member of two different subfamilies consisting of uniformly locally Lipschitz functions is bounded. It suffices in each case to consider real-valued functions.engjournal articlehttps://doi.org/10.1017/S0004972714000215http://journals.cambridge.org/action/displayJournal?jid=BAZrestricted access515.1Lipschitz functionLocally Lipschitz functionUniformly locally LipschitzFunctionLipschitz in the small functionfunction preserving Cauchy sequencesbornologytotally bounded setBourbaki bounded setTopología1210 Topología