2 papers
cs.CG2026
Canopies: A Generalization of Vines and Vineyards for Parameterized Persistence
Barbara Giunti, Elizabeth Munch
In this paper, we provide a new construction for studying parameterized persistence, called a canopy. We give two versions of this construction: the A-canopy, retaining all informa…
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…