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arxiv: 0811.1868 · v2 · submitted 2008-11-12 · 💻 cs.CG · cs.CV· math.AT

Necessary Conditions for Discontinuities of Multidimensional Size Functions

classification 💻 cs.CG cs.CVmath.AT
keywords functionmultidimensionalsizeassociatedconditionsdiscontinuitiesdiscontinuityfunctions
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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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