Invariance of the normalized Minkowski content with respect to the ambient space
Metric Geometry
2015-06-05 v1
Abstract
It is easy to show that the lower and the upper box dimensions of a bounded set in Euclidean space are invariant with respect to the ambient space. In this article we show that the Minkowski content of a Minkowski measurable set is also invariant with respect to the ambient space when normalized by an appropriate constant. In other words, the value of the normalized Minkowski content of a bounded, Minkowski measurable set is intrinsic to the set.
Keywords
Cite
@article{arxiv.1207.3279,
title = {Invariance of the normalized Minkowski content with respect to the ambient space},
author = {Maja Resman},
journal= {arXiv preprint arXiv:1207.3279},
year = {2015}
}
Comments
11 pages, 0 figures