Martin's maximum and the non-stationary ideal
Shimon Garti, Yair Hayut, Haim Horowitz, Menachem Magidor
TL;DR
This paper investigates the properties of the non-stationary ideal and club filter at within the context of Martin's maximum, providing insights into their structure and interactions.
Contribution
It offers a new analysis of the non-stationary ideal and club filter at assuming Martin's maximum, highlighting their behavior under strong forcing axioms.
Findings
The non-stationary ideal exhibits specific structural properties under MM.
The club filter's interaction with the non-stationary ideal is characterized.
Results contribute to understanding set-theoretic hierarchies at .
Abstract
We analyze the non-stationary ideal and the club filter at aleph_1 under MM.
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Taxonomy
TopicsAdvanced Topology and Set Theory · Rings, Modules, and Algebras · Functional Equations Stability Results