|ISSN 1088-6826(online) ISSN 0002-9939(print)|
The essential boundary of certain sets
Abstract: The essential boundary of a measurable set is related to the de Giorgi perimeter and was introduced by Vol'pert in his "improvement" of Federer's work.
For a totally disconnected compact set of positive measure in space the essential boundary can be of Hausdorff dimension but cannot have finite -measure.
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