19 citations · 126 across the 23 of their papers we have counts for
24 papers
Nowhere trivial automorphisms of , for inaccessible
Jakob Kellner, Saharon Shelah
If is (strongly) inaccessible and , then there is a nowhere trivial automorphism of the Boolean algebra .
On automorphisms of
Jakob Kellner, Anda Latif, Saharon Shelah
We investigate the statement ``all automorphisms of are trivial''. We show that MA implies the statement for regular uncountable ; that the…
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…