W. Brian

collaborators

3 papers

math.LO2026

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

Will Brian, Alan Dow

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

math.GN2026

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

Will Brian, Alan Dow

We introduce a new parametrized diamond principle denoted $♢ (LP)$ . This principle is akin to the parametrized diamonds of Moore, HruÅ¡Ã¡k, and DÅ¾amonja, each o…

math.GN2025

$M^{}$ , $N^{}$ , and $H^{*}$

Will Brian, Alan Dow, Klaas Pieter Hart

Let $M = N \times [0, 1]$ . The natural projection $I ¨ : M \to N$ , which sends $(n, x)$ to $n$ , induces a projection mapping $Ï^*: \mathbb{M}…

Nontrivial automorphisms of P(I¨)/Fin in Cohen models

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

M∗, N∗, and H∗

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

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

$M^{}$ , $N^{}$ , and $H^{*}$