On the additive image of 0th persistent homology

Ulrich Bauer, Magnus Bakke Botnan, Steffen Oppermann +1

For $X$ a finite category and $F$ a finite field, we study the additive image of the functor $\operatorname{H}_0(-,F) \colon \operatorname{rep}(X, \mathbf{Top}) \to \operatorname{r…