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math.AT2020
Decomposing filtered chain complexes: geometry behind barcoding algorithms
Wojciech Chachólski, Barbara Giunti, Alvin Jin +1
In Topological Data Analysis, filtered chain complexes enter the persistence pipeline between the initial filtering of data and the final persistence invariants extraction. It is k…
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…