June 26, 2024

Consistent and inconsistent generalizations of Martin’s Axiom, weak square and weak Chang’s Conjecture

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Abstract

We prove that the forcing axiom Formula: see text (stratified) implies Formula: see text. Using this implication, we show that the forcing axiom Formula: see text is inconsistent. We also derive weak Chang’s Conjecture from Formula: see text (stratified) and use this second implication to give another proof of the inconsistency of Formula: see text.

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Cite This Study

Asperó et al. (Wed,) studied this question.

synapsesocial.com/papers/68e633c2b6db6435875c608e https://doi.org/https://doi.org/10.1142/s0219061324500211

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4Classical Namba forcing can have the weak countable approximation property2026 · 1 citations
5Discontinuous homomorphisms on C(X) with the negation of CH and a weak forcing axiom2024

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