Strong Compactness and the Ultrapower Axiom
Gabriel Goldberg
TL;DR
This paper explores the implications of an abstract comparison principle within set theory, focusing on strong compactness and the Ultrapower Axiom, and discusses their interrelations and consequences.
Contribution
It introduces new consequences of the Ultrapower Axiom based on an abstract comparison principle, advancing understanding of large cardinal properties.
Findings
Derived new consequences of the Ultrapower Axiom
Connected strong compactness with the comparison principle
Provided insights into the structure of ultrapowers
Abstract
We announce some consequences of an abstract comparison principle.
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Taxonomy
TopicsAdvanced Topology and Set Theory · Rings, Modules, and Algebras · Fuzzy and Soft Set Theory