One-dimensional reduction of multidimensional persistent homology
@inproceedings{Cagliari2007OnedimensionalRO, title={One-dimensional reduction of multidimensional persistent homology}, author={F. Cagliari and B. D. Fabio and M. Ferri}, year={2007} }
A recent result on size functions is extended to higher homology modules: the persistent homology based on a multidimensional measuring function is reduced to a 1-dimensional one. This leads to a stable distance for multidimensional persistent homology. Some reflections on i-essentiality of homological critical values conclude the paper.
49 Citations
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