Martin’s axiom does not imply that every twoℵ1-dense sets of reals are isomorphic

Uri Avraham, Saharon Shelah · 1981

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math.LO · 2025-08-31 · conditional · novelty 7.0

For every n≥2, the statement 'there is an n-entangled set of reals but no (n+1)-entangled set' is consistent with PID plus Martin's Axiom.

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There may be an $n$-entangled set but no $n+1$-entangled sets math.LO · 2025-08-31 · conditional · none · ref 2
For every n≥2, the statement 'there is an n-entangled set of reals but no (n+1)-entangled set' is consistent with PID plus Martin's Axiom.