4 citations · 4 across the 2 of their papers we have counts for
2 papers
math.LO2024
On forcing axioms and weakenings of the Axiom of Choice
Diego Lima Bomfim, Charles Morgan, Samuel Gomes da Silva
We prove forcing axiom equivalents of two families of weakenings of the axiom of choice: a trichotomy principle for cardinals isolated by Lévy, , and ${\rm D…
math.GN2016★ 4 cited
Selectively (a)-spaces from almost disjoint families are necessarily countable under a certain parametrized weak diamond principle
Charles J. G. Morgan, Samuel G. Da Silva
The second author has recently shown ([20]) that any selectively (a) almost disjoint family must have cardinality strictly less than $2^{\alpeh_0}$, so under the Continuum Hypothes…