5 citations · 6 across the 3 of their papers we have counts for
4 papers
The Shift-Dimension of Multipersistence Modules
Wojciech Chachólski, René Corbet, Anna-Laura Sattelberger
We present the shift-dimension of multipersistence modules and investigate its algebraic properties. This gives rise to a new invariant of multigraded modules over the multivariate…
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…
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…
Idempotent deformations of finite groups
Martin Blomgren, Wojciech Chachólski, Emannuel Dror Farjoun +1
The action of the idempotent deformations on finite groups is discussed. This action is described in terms of the homological properties of groups. The orbits of finite simple grou…