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math.AT2024
Efficient Algorithms for Complexes of Persistence Modules with Applications
Tamal K. Dey, Florian Russold, Shreyas N. Samaga
We extend the persistence algorithm, viewed as an algorithm computing the homology of a complex of free persistence or graded modules, to complexes of modules that are not free. We…
math.AT2018
On the homotopy type of choice spaces
Shreyas Samaga
We study continuous, symmetric and unanimous aggregation functions and continuous majority functions and prove that such functions exist on a choice space if and only if the choice…