Stability in multidimensional Size Theory

Details Stability in multidimensional Size Theory Stability in multidimensional Size Theory

2006-08-02

arxiv.org/abs/cs/0608009v1

Computer Science

Computational Geometry

15 pages, 1 figure, uses psfrag

Scientific paper

This paper proves that in Size Theory the comparison of multidimensional size functions can be reduced to the 1-dimensional case by a suitable change of variables. Indeed, we show that a foliation in half-planes can be given, such that the restriction of a multidimensional size function to each of these half-planes turns out to be a classical size function in two scalar variables. This leads to the definition of a new distance between multidimensional size functions, and to the proof of their stability with respect to that distance.

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