W. Brian

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20232026

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math.LO2026

Nontrivial automorphisms of $P (ω) / Fin$ in Cohen models

Will Brian, Alan Dow

We show that if $κ < ℵ_{ω}$ Cohen reals are added to a model of $CH$ , then there are nontrivial automorphisms of $P (ω) / Fin$ in the extension. Under som…

math.GN2026

A parametrized $♢$ for the Laver property and nontrivial automorphisms of $P (ω) / Fin$

Will Brian, Alan Dow

We introduce a new parametrized diamond principle denoted $♢ (LP)$ . This principle is akin to the parametrized diamonds of Moore, Hrušák, and Džamonja, each of w…

Nontrivial automorphisms of P(ω)/Fin in Cohen models

A parametrized ♢ for the Laver property and nontrivial automorphisms of P(ω)/Fin

Nontrivial automorphisms of $P (ω) / Fin$ in Cohen models

A parametrized $♢$ for the Laver property and nontrivial automorphisms of $P (ω) / Fin$