Liftings of point-wise finite dimensional persistence modules over local commutative Artinian rings

José A. Vélez-Marulanda

Let $\mathbf{k}$ be a field and let $V:\mathcal{C}\to \mathbf{k}\text{-Mod}$ be a point-wise finite dimensional persistence modules, where $\mathcal{C}$ is a small category. As…