7 citations · 12 across the 7 of their papers we have counts for
8 papers
Generalizations of Martin's Axiom, weak square, weak Chang's Conjecture, and a forcing axiom failure
David Aspero, Nutt Tananimit
We prove that the forcing axiom $MA^{1.5}_{\aleph_2}(\mbox{stratified})$ implies . Using this implication, we show that the forcing axiom $MM_{\aleph_2}(\aleph_2\m…
Incompatible bounded category forcing axioms
David Aspero, Matteo Viale
We introduce bounded category forcing axioms for well-behaved classes . These are strong forms of bounded forcing axioms which completely decide the theory of some initial segme…
Parametrized Measuring and Club Guessing
David Aspero, John Krueger
We introduce Strong Measuring, a maximal strengthening of J. T. Moore's Measuring principle, which asserts that every collection of fewer than continuum many closed bounded subsets…
Dependent Choice, Properness, and Generic Absoluteness
David Asperó, Asaf Karagila
We show that Dependent Choice is a sufficient choice principle for developing the basic theory of proper forcing, and for deriving generic absoluteness for the Chang model in the p…
Incompatible category forcing axioms
David Aspero, Matteo Viale
Given a cardinal , category forcing axioms for -suitable classes are strong forcing axioms which completely decide the theory of the Chang model , modulo ge…
Few new reals
David Aspero, Miguel Angel Mota
We introduce a new method for building models of CH, together with statements over , by forcing. Unlike other forcing constructions in the literature, our constructio…