Type: Article

Fréchet-like properties and almost disjoint families

Corral, César; Hrusak, Michael;

Abstract:

We study the relationship between ?i properties and strong Fréchet-like properties in ?-spaces associated to almost disjoint families. In particular, we prove that under some mild assumptions (e.g. c??2) there is an almost disjoint family A such that ?(A) is Fréchet, ?3 and not bisequential, answering a question of G. Gruenhage.