CORDIS Project
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This project explores the properties of large cardinals in set theory, particularly focusing on the strong tree and super tree properties. It aims to understand their implications at smaller cardinals and their potential applications in arithmetic and group theory.
Large cardinals are deeply used in set theory as many problems that are independent from the classical theory ZFC can be solved under the assumption that large cardinals exist.
One of the most rich and fruitful research areas in contemporary set theory is the study of those properties of large cardinals that can hold even at small cardinals.
Two properties of that kind are particularly interesting, the strong tree property and the super tree property.
These properties provide a simple combinator…
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