In 2004 Csima, Hirschfeldt, Knight, and Soare [1] showed that a set A T 0 is nonlow2 if and only if A is prime bounding, i.e. for every complete atomic decidable theory T , there i...
The purpose of this note is to demonstrate that a weak form of club guessing on 1 implies the existence of an Aronszajn line with no Countryman suborders. An immediate consequence ...