14 citations · 16 across the 7 of their papers we have counts for
7 papers
Orderings of ultrafilters on Boolean algebras
Jörg Brendle, Francesco Parente
We study two generalizations of the Rudin-Keisler ordering to ultrafilters on complete Boolean algebras. To highlight the difference between them, we develop new techniques to cons…
A model with everything except for a well-ordering of the reals
Jörg Brendle, Fabiana Castiblanco, Ralf Schindler +2
We construct a model of containing a Luzin set, a Sierpiński set, as well as a Burstin basis but in which there is no a well ordering of the continuum.
Rothberger gaps in fragmented ideals
Jörg Brendle, Diego A. Mejía
The~\emph{Rothberger number} of a definable ideal on is the least cardinal such that there exists a Rothberger gap of type $(ω,κ)…
Evasion and prediction II
Jörg Brendle, Saharon Shelah
A subgroup G \leq Z^omega exhibits the Specker phenomenon if every homomorphism G \to Z maps almost all unit vectors to 0. We give several combinatorial characterizations of the ca…
Mutually Generics and Perfect Free Subsets
Jörg Brendle
We discuss ways of adjoining perfect sets of mutually generic random reals. In particular, we show that if V \sub W are models of ZFC and W contains a dominating real over V, then…
Evasion and prediction --- the Specker phenomenon and Gross spaces
Jörg Brendle
We study the set--theoretic combinatorics underlying the following two algebraic phenomena. (1) A subgroup G leq Z^omega exhibits the Specker phenomenon iff every homomorphism G to…