Work

Forcing axioms and the structure theory of Aronszajn trees

Year: 2026
Type: preprint
Abstract: We study which structural results about Aronszajn trees require the Proper Forcing Axiom and which require only MA(aleph1). In particular, we show that MA(aleph1) is consistent with the existence of 2^aleph1 pairwise non-club-isomorphic coherent A-trees.
Language: English
Open Access status: green
OpenAlex ID: W7220709394
Cites: 1
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Related to: 10