3 papers
math.LO2026
A non-trivially non-trivial automorphism at an inaccessible cardinal
Márk Poór, Jing Zhang
We show that, relative to the existence of an inaccessible cardinal, it is consistent that for an inaccessible cardinal , there is a non-trivial automorphism of $\mathcal{P}(κ)/…
math.LO2025
Homeomorphisms of continua through projective Fraïssé limits
Márk Poór, Sławomir Solecki
We study homeomorphisms and the homeomorphism groups of compact metric spaces using the automorphism groups of projective Fraïssé limits. In our applications, we investigate the Po…
math.LO2022
Universal graphs between a strong limit singular and its power
Márk Poór, Saharon Shelah
The paper settles the problem of the consistency of the existence of a single universal graph between a strong limit singular and its power. Assuming that in a model of $\mathbf{GC…