Small Universal Families of Graphs on ℵ<sub>ω+1</sub>
journal contribution
posted on 2014-08-01, 00:00 authored by James CummingsJames Cummings, Mirna Dzamonja, Charles Morgan<p>We prove that it is consistent that ℵ<sub>ω</sub> is strong limit, 2<sup>ℵ<sub>ω</sub></sup> is large and the universality number for graphs on ℵ<sub>ω+1</sub> is small. The proof uses Prikry forcing with interleaved collapsing</p>