Inserted: 16 nov 2012
Journal: Studia Math.
Links: arXiv version
We consider sets in uniformly perfect metric spaces which are null for every doubling measure of the space or which have positive measure for all doubling measures. These sets are called thin and fat, respectively. In our main results, we give suﬃcient conditions for certain cut-out sets being thin or fat.
Keywords: doubling measure, thin set, thick set, fat set