Will Brian

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math.LO2024

Conjugating trivial automorphisms of $P (N) / Fin$

Will Brian, Ilijas Farah

A trivial automorphism of the Boolean algebra $P (N) / Fin$ is an automorphism induced by the action of some function $N \to N$ . In…

math.LO2024

Does $P (ω) / fin$ know its right hand from its left?

Will Brian

Let $σ$ denote the shift automorphism on $P (ω) / fin$ , defined by setting $σ ([A]) = [A + 1]$ for all $A \subseteq ω$ . We show that the Continuum Hypothesis implies…

Conjugating trivial automorphisms of P(N)/Fin

Does P(ω)/fin know its right hand from its left?

Conjugating trivial automorphisms of $P (N) / Fin$

Does $P (ω) / fin$ know its right hand from its left?