13 citations · 38 across the 21 of their papers we have counts for
24 papers · 1 filter
Almost refinement, reaping, and ultrafilter numbers
Jörg Brendle, Michael Hrušák, Francesco Parente
We investigate the combinatorial structure of the set of maximal antichains in a Boolean algebra ordered by almost refinement. We also consider the reaping relation and its associa…
Separating cardinal characteristics of the strong measure zero ideal
Jörg Brendle, Miguel A. Cardona, Diego A. Mejía
Let be the -ideal of the strong measure zero sets of reals. We present general properties of forcing notions that allow to control of the additivity of $\mathcal{…
Higher Dimensional Cardinal Characteristics for Sets of Functions II
Jörg Brendle, Corey Bacal Switzer
We study the values of the higher dimensional cardinal characteristics for sets of functions introduced by the second author. We prove that while the bounding number…
Combinatorics of ultrafilters on Cohen and random algebras
Jörg Brendle, Francesco Parente
We investigate the structure of ultrafilters on Boolean algebras in the framework of Tukey reducibility. In particular, this paper provides several techniques to construct ultrafil…
Definable Maximal Independent Families
Jörg Brendle, Vera Fischer, Yurii Khomskii
We study maximal independent families (m.i.f.) in the projective hierarchy. We show that (a) the existence of a m.i.f. is equivalent to the existence of a $\bold…
Filter-linkedness and its effect on preservation of cardinal characteristics
Jörg Brendle, Miguel A. Cardona, Diego A. Mejía
We introduce the property ``-linked'' of subsets of posets for a given free filter on the natural numbers, and define the properties ``--linked'' and ``--Knaster…