Necessary Conditions for Discontinuities of Multidimensional Size Functions
Computational Geometry
2009-08-04 v2 Computer Vision and Pattern Recognition
Algebraic Topology
Abstract
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.
Cite
@article{arxiv.0811.1868,
title = {Necessary Conditions for Discontinuities of Multidimensional Size Functions},
author = {Andrea Cerri and Patrizio Frosini},
journal= {arXiv preprint arXiv:0811.1868},
year = {2009}
}
Comments
23 pages, 4 figures