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math.AT2020
Invariants for tame parametrised chain complexes
Wojciech Chachólski, Barbara Giunti, Claudia Landi
We set the foundations for a new approach to Topological Data Analysis (TDA) based on homotopical methods at chain complexes level. We present the category of tame parametrised cha…
math.AT2017★ 5 cited
Stable Invariants for Multiparameter Persistence
Oliver Gäfvert, Wojciech Chachólski
In this paper we explain how to convert discrete invariants into stable ones via what we call hierarchical stabilization. We illustrate this process by constructing stable invarian…