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math.AT2024
Fibers of point cloud persistence
David Beers, Heather A Harrington, Jacob Leygonie +2
Persistent homology (PH) studies the topology of data across multiple scales by building nested collections of topological spaces called filtrations, computing homology and returni…
math.CO2024
The Stress-Flex Conjecture
Robert Connelly, Steven J. Gortler, Louis Theran +1
Recently, it has been proven that a tensegrity framework that arises from coning the one-skeleton of a convex polytope is rigid. Since such frameworks are not always infinitesimall…