Lyubomyr Zdomskyy: Menger and Hurewicz spaces: products and applications to forcing

Tuesday, May 26, 2020 17:15

Location: Zoom.us: if you want to participate please contact organizers

Speaker:
Lyubomyr Zdomskyy (KGHR, Vienna)

Title: Menger and Hurewicz spaces: products and applications to forcing

Abstract. This talk will be devoted to (products of) Menger and Hurewicz spaces and their connections to forcing and mad families. In particular, we shall show that in the Laver model, each mad family can be destroyed by a ccc poset preserving the ground model reals unbounded and splitting. It is an important open problem whether the same follows from CH.