Will Brian

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20242026

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math.LO2026

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

Will Brian

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

math.LO2025

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…

Does P(I¨)/fin know its right hand from its left?

Conjugating trivial automorphisms of P(N)/Fin

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

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