12 citations · 84 across the 48 of their papers we have counts for
51 papers
Two variants of minimality in forcing extensions
Martin Goldstern, Tatsuya Goto
We introduce d-minimal and b-minimal extensions, two weakenings of minimality based respectively on eventual domination and infinitely often domination. We prove that the generic e…
Preservation of splitting families and cardinal characteristics of the continuum
Martin Goldstern, Jakob Kellner, Diego A. Mejía +1
We show how to construct, via forcing, splitting families than are preserved by a certain type of finite support iterations. As an application, we construct a model where 15 classi…
Controlling cardinal characteristics without adding reals
Martin Goldstern, Jakob Kellner, Diego A. Mejía +1
We investigate the behavior of cardinal characteristics of the reals under extensions that do not add new -sequences (for some regular ). As an application, we show that c…
Cichoń's maximum without large cardinals
Martin Goldstern, Jakob Kellner, Diego A. Mejía +1
Cichoń's diagram lists twelve cardinal characteristics (and the provable inequalities between them) associated with the ideals of null sets, meager sets, countable sets, and -co…
Controlling classical cardinal characteristics while collapsing cardinals
Martin Goldstern, Jakob Kellner, Diego A. Mejía +1
Given a forcing notion that forces certain values to several classical cardinal characteristics of the reals, we show how we can compose with a collapse (of a cardinal $λ>κ…
Cichoń's Diagram and Localisation Cardinals
Martin Goldstern, Lukas Daniel Klausner
We reimplement the creature forcing construction used by Fischer et al. (arXiv:1402.0367) to separate Cichoń's diagram into five cardinals as a countable support product. Using the…