Bounded Namba forcing axiom may fail
Jindrich Zapletal
TL;DR
This paper demonstrates that in a sigma-closed forcing extension, the bounded Namba forcing axiom does not hold, providing a negative answer to a question posed by Justin Tatch Moore.
Contribution
It shows the failure of the bounded Namba forcing axiom in a sigma-closed extension, addressing an open question in set theory.
Findings
Bounded Namba forcing axiom fails in sigma-closed extensions
Answers a question of Justin Tatch Moore
Provides insight into the limitations of forcing axioms
Abstract
In a sigma-closed forcing extension, the bounded forcing axiom for Namba forcing fails. This answers a question of Justin Tatch Moore.
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