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math.CO2025
Extremal Betti Numbers and Persistence in Flag Complexes
Lies Beers, Magnus Bakke Botnan
We investigate several problems concerning extremal Betti numbers and persistence in filtrations of flag complexes. For graphs on vertices, we show that is maximal…
math.RT2025
On the additive image of 0th persistent homology
Ulrich Bauer, Magnus Bakke Botnan, Steffen Oppermann +1
For a finite category and a finite field, we study the additive image of the functor $\operatorname{H}_0(-,F) \colon \operatorname{rep}(X, \mathbf{Top}) \to \operatorname{r…