Strongly compct diagonal Prikry forcing
Mohammad Golshani
TL;DR
This paper introduces a new form of diagonal Prikry forcing leveraging a strongly compact cardinal, exploring its fundamental properties and potential implications in set theory.
Contribution
It presents a novel version of Gitik-Sharon diagonal Prikry forcing that utilizes the assumption of a strongly compact cardinal, expanding the toolkit for set-theoretic forcing.
Findings
Defined a new diagonal Prikry forcing using a strongly compact cardinal
Proved basic properties of the new forcing notion
Potential applications in large cardinal and forcing theory
Abstract
We define a version of Gitik-Sharon diagonal Prikry forcing using a strongly compact cardinal, and prove its basic properties.
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Taxonomy
TopicsAdvanced Topology and Set Theory · Pituitary Gland Disorders and Treatments · Advanced Topics in Algebra