J. Krueger

activity

20142023

most citedNamba forcing, weak approximation, and guessing

5 citations · 7 across the 7 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

math.LO2018

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…

math.LO2018

A forcing axiom for a non-special Aronszajn tree

John Krueger

Suppose that $T^{*}$ is an $ω_{1}$ -Aronszajn tree with no stationary antichain. We introduce a forcing axiom PFA( $T^{*}$ ) for proper forcings which preserve these properties of $T^{*}$ . We…

math.LO2018★ 2 cited

The Harrington-Shelah Model with Large Continuum

Thomas Gilton, John Krueger

We prove from the existence of a Mahlo cardinal the consistency of the statement that $2^{ω} = ω_{3}$ holds and every stationary subset of $ω_{2} \cap cof (ω)$ reflects to an ordi…