On some variants of the club principle
Ashutosh Kumar, Saharon Shelah
TL;DR
This paper explores different asymptotic versions of the club principle, constructing specific forcings to distinguish between these variants and analyze their relationships.
Contribution
It introduces new variants of the club principle and develops forcing techniques to differentiate among them.
Findings
Separated several variants of the club principle
Constructed forcings to distinguish principles
Provided insights into the structure of club principles
Abstract
We study some asymptotic variants of the club principle. Along the way, we construct some forcings and use them to separate several of these principles
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