3 papers
math.LO2024
Some observations on a result by Bialinicki-Birula and Zelazko
Gabriele Gullà
We are interested in investigating some definitions and assumptions stated in [4], in particular the notions of measurability and atomicity that the two authors used in order to gi…
math.LO2024
A synthetic overview on some known characterizations of Woodin cardinals
Gabriele Gullà
This brief survey comes from the slides of a seminar I gave to philosophy of mathematics students. I will present some different characterizations of Woodin cardinals, including th…
math.LO2024
On a relation between -full well-ordered sets and weakly compact cardinals
Gabriele Gullà
We prove, via transfinite recursion, the existence, inside any linearly ordered set of appropriate regular cardinality , of a particular kind of well-ordered subsets characteriz…