92 citations · 241 across the 21 of their papers we have counts for
4 papers · 1 filter
The Proper Forcing Axiom, Prikry forcing, and the Singular Cardinals Hypothesis
Justin Tatch Moore
The purpose of this paper is to present some results which suggest that the Singular Cardinals Hypothesis follows from the Proper Forcing Axiom. What will be proved is that a form…
Set mapping reflection
Justin Tatch Moore
In this note we will discuss a new reflection principle which follows from the Proper Forcing Axiom. The immediate purpose will be to prove that the bounded form of the Proper Forc…
A five element basis for the uncountable linear orders
Justin Tatch Moore
In this paper I will show that it is relatively consistent with the usual axioms of mathematics (ZFC) together with a strong form of the axiom of infinity (the existence of a super…
A solution to the L space problem and related ZFC constructions
Justin Tatch Moore
In this paper I will construct a non-separable hereditarily Lindelof space (L space) without any additional axiomatic assumptions. I will also show that there is a function f from…