%0 Journal Article %A Garrido, M. Isabel %T BORNOLOGIES AND LOCALLY LIPSCHITZ FUNCTIONS %D 2014 %@ 0004-9727 %U https://hdl.handle.net/20.500.14352/33803 %X Let 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. %~