92 citations · 241 across the 21 of their papers we have counts for
28 papers
Forcing axioms and the structure theory of Aronszajn trees
Justin Tatch Moore, Stevo Todorcevic
We study which structural results about Aronszajn trees require the Proper Forcing Axiom and which require only MA(aleph1). In particular, we show that MA(aleph1) is consistent wit…
Merging with other nonvanishing constructions
Nathaniel Bannister, Justin Tatch Moore
We develop methods for forcing , where is a particular inverse system of abelian groups introduced by Mardešić and Prasolov in their computati…
A virtual five element basis for the uncountable linear orders
John Krueger, Justin Tatch Moore
We prove that for every Aronzsajn line A and every Countryman line C, there is a proper forcing extension in which A contains an isomorphic copy of either C or its converse C*. As…
Ultrafilters over Successor Cardinals and the Tukey Order
Tom Benhamou, Justin T. Moore, Luke Serafin
We study ultrafilters on regular uncountable cardinals, with a primary focus on , and particularly in relation to the Tukey order on directed sets. Results include the indepen…
On minimal non--scattered linear orders
Todd Eisworth, James Cummings, Justin Tatch Moore
The purpose of this article is to give new constructions of linear orders which are minimal with respect to being non--scattered. Specifically, we will show that Jensen's princi…
A descriptive approach to higher derived limits
Nathaniel Bannister, Jeffrey Bergfalk, Justin Tatch Moore +1
We present a new aspect of the study of higher derived limits. More precisely, we introduce a complexity measure for the elements of higher derived limits over the directed set …