Non-elementary proper forcing
Jakob Kellner

TL;DR
This paper introduces a simplified framework for ord-transitive models and Shelah's non-elementary proper (nep) theory, along with a new construction for countable support nep iteration, advancing the methodology in set theory.
Contribution
It provides a streamlined approach to nep theory and a novel construction for countable support nep iteration, enhancing existing techniques.
Findings
Simplified framework for ord-transitive models
New construction for countable support nep iteration
Advances in non-elementary proper forcing techniques
Abstract
We introduce a simplified framework for ord-transitive models and Shelah's non elementary proper (nep) theory. We also introduce a new construction for the countable support nep iteration.
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Taxonomy
TopicsAdvanced Topology and Set Theory · Computability, Logic, AI Algorithms · Logic, Reasoning, and Knowledge
