Type: Article

Katetov order on MAD families

Guzmán, Osvaldo;

Abstract:

We continue with the study of the Kat?tov order on MAD families. We prove that Kat?tov maximal MAD families exist under b=c and that there are no Kat?tov-top MAD families assuming s?b. This improves previously known results from the literature. We also answer a problem form Arciga, Hrušák, and Martínez regarding Kat?tov maximal MAD families.