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A central set of dimension  |
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| Authors: | Christopher J. Bishop Hrant Hakobyan |
| Affiliation: | Department of Mathematics, SUNY Stony Brook, Stony Brook, New York 11790 ; Department of Mathematics, University of Toronto, Toronto, ON, Canada M5S 2E4 |
| Abstract: | The central set of a domain  is the set of centers of maximal discs in  . Fremlin proved that the central set of a planar domain has zero area and asked whether it can have Hausdorff dimension strictly larger than  . We construct a planar domain with central set of Hausdorff dimension  . |
| Keywords: | Hausdorff dimension central set medial axis skeleton Lipschitz domain maximal discs disc trees |
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