Publication: BORNOLOGIES AND LOCALLY LIPSCHITZ FUNCTIONS
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2014
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Australian Mathematical Society
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Abstract
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.
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