Necessary Conditions for Discontinuities of Multidimensional Size Functions [article]

Andrea Cerri, Patrizio Frosini
<span title="2009-08-04">2009</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
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.
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/0811.1868v2">arXiv:0811.1868v2</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/nwxndmilgnf73nadu4xpmzyqzq">fatcat:nwxndmilgnf73nadu4xpmzyqzq</a> </span>
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