14 citations · 14 across the 3 of their papers we have counts for
4 papers · 1 filter
Density cardinals
Christina Brech, Jörg Brendle, Márcio Telles
How many permutations are needed so that every infinite-coinfinite set of natural numbers with asymptotic density can be rearranged to no longer have the same density? We prove tha…
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)…
A variant proof of Con(b<a)
Jörg Brendle, Andrew D. Brooke-Taylor
We present a variation of the proof in the first author's "Mob families and mad families" of Con(b<a), which in particular removes some of the obstacles to generalising the argumen…
An analogy between cardinal characteristics and highness properties of oracles
Jörg Brendle, Andrew Brooke-Taylor, Keng Meng Ng +1
We present an analogy between cardinal characteristics from set theory and highness properties from computability theory, which specify a sense in which a Turing oracle is computat…