Invariants for tame parametrised chain complexes

Barbara Giunti, Claudia Landi, Wojciech Chacholski

Research output: Contribution to journalArticlepeer-review


We set the foundations for a new approach to Topological Data Analysis (TDA) based on homotopical methods at the chain complex 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. We extract new invariants in this category using a model structure and various minimal cofibrant approximations. Such approximations and their invariants retain some of the topological, and not just homological, aspects of the objects they approximate.
Original languageEnglish
Pages (from-to)183-213
Number of pages31
JournalHomology, Homotopy and Applications
Issue number2
Publication statusPublished - 9 Jun 2021
Externally publishedYes


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