Invariance of the generalized Minkowski content with respect to the ambient space (CROSBI ID 197591)
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Resman, Maja
engleski
Invariance of the generalized Minkowski content with respect to the ambient space
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.
box dimension; Minkowski content; normalized Minkowski content; Minkowski measurability
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