Necessary Conditions for Discontinuities of Multidimensional Size Functions

Details Necessary Conditions for Discontinuities of Multidimensional Size Functions Necessary Conditions for Discontinuities of Multidimensional Size Functions

2008-11-12

arxiv.org/abs/0811.1868v2

Computer Science

Computational Geometry

23 pages, 4 figures

Scientific paper

Some new results about multidimensional Topological Persistence are
presented, proving that the discontinuity points of a k-dimensional size
function are necessarily related to the pseudocritical or special values of the
associated measuring function.

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