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- W2592601714 abstract "We consider the direction set determined by various subsets $E$ of Euclidean space and show that there is a trichotomy: Either (i) The subset is the graph of a Lipschitz function and the direction set is not dense in the sphere, (ii) The subset is the graph of a non-Lipschitz function and the direction set is dense but not everything, or (iii) The subset is not a graph (in a suitable sense) and every direction is determined by the set. We then explore a variety of results based on this trichotomy under additional assumptions on the set $E$." @default.
- W2592601714 created "2017-03-16" @default.
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- W2592601714 date "2017-03-05" @default.
- W2592601714 modified "2023-10-12" @default.
- W2592601714 title "Direction sets, Lipschitz graphs and density" @default.
- W2592601714 hasPublicationYear "2017" @default.
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