On Star operation and some ideals on the Baire space

Aleksander Cieślak, Daria Perkowska, Szymon Żeberski

We investigate several $\sigma$-ideals on the Baire space ${\omega }^{\omega }$ $({\mathbb{Z}}^{\omega })$, introducing and studying the ideals $\mathcal{G}$ and ${\mathcal{SMZ}}^{+}$, alongside the classical ideals…