4 papers · 1 filter
More on Halfway New Cardinal Characteristics
Barnabás Farkas, Lukas Daniel Klausner, Marc Lischka
We continue investigating variants of the splitting and reaping numbers introduced in arXiv:1808.02442. In particular, answering a question raised there, we prove the consistency o…
Analytic P-ideals and Banach spaces
Piotr Borodulin-Nadzieja, Barnabás Farkas
We study the interplay between Banach space theory and theory of analytic P-ideals. Applying the observation that, up to isomorphism, all Banach spaces with unconditional bases can…
Ways of Destruction
Barnabas Farkas, Lyubomyr Zdomskyy
We study the following natural strong variant of destroying Borel ideals: $\textit{$+$-destroys}$ if adds an -positive set whic…
Towers in filters, cardinal invariants, and Luzin type families
Jörg Brendle, Barnabás Farkas, Jonathan Verner
We investigate which filters on can contain towers, that is, a modulo finite descending sequence without any pseudointersection (in ). We prove the following results: -…