Invariants for tame parametrised chain complexes

16 Nov 2020 Chachólski Wojciech Giunti Barbara Landi Claudia

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 chain complexes as a comprehensive environment that includes several cases that usually TDA handles separately, such as persistence modules, zigzag modules, and commutative ladders... (read more)

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  • ALGEBRAIC TOPOLOGY