15 citations · 17 across the 5 of their papers we have counts for
9 papers
Geometric duality, perfect graphs, and the Sierpiński space
Piotr Borodulin-Nadzieja, Barnabás Farkas, Anna Pelczar-Barwacz
In their classical paper \emph{On the stopping time Banach space}, Bang and Odell, among a plethora of results concerning the dyadic stopping time space and its dual, presented the…
The ZOO of combinatorial Banach spaces
Piotr Borodulin-Nadzieja, Barnabás Farkas, Sebastian Jachimek +1
We study Banach spaces induced by families of finite sets in the most natural (Schreier-like) way, that is, we consider the completion $X_\mc{F}$ of with respect to the no…
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: -…
Almost disjoint refinements and mixing reals
Barnabás Farkas, Yurii Khomskii, Zoltán Vidnyánszky
We investigate families of subsets of with almost disjoint refinements in the classical case as well as with respect to given ideals on . More precisely, we study the follow…
Representations of ideals in Polish groups and in Banach spaces
Piotr Borodulin-Nadzieja, Barnabas Farkas, Grzegorz Plebanek
We investigate ideals of the form is unconditionally convergent , where is a sequence in a Polish group or in a Banach…
More on cardinal invariants of analytic P-ideals
Barnabás Farkas, Lajos Soukup
Given an ideal on let () be minimum of the cardinalities of infinite (uncountable) maximal -almost disjoint subsets of , and denote and$…