5 citations · 7 across the 7 of their papers we have counts for
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math.LO2019
Entangledness in Suslin lines and trees
John Krueger
We introduce the idea of a weakly entangled linear order, and show that it is consistent for a Suslin line to be weakly entangled. We generalize the notion of entangled linear orde…
math.LO2019
Guessing models imply the singular cardinal hypothesis
John Krueger
In this article we prove three main theorems: (1) guessing models are internally unbounded, (2) for any regular cardinal , implies that h…
math.LO2019
A note on the eightfold way
Thomas Gilton, John Krueger
Assuming the existence of a Mahlo cardinal, we construct a model in which there exists an -Aronszajn tree, the -approachability property fails, and every stationary subse…