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math.LO2026
Countryman Lines and the Continuum Hypothesis
John Krueger, Eduardo Martinez Mendoza
We explore the prospect of basis-like results for the class of Aronszajn lines which are consistent with the Continuum Hypothesis (CH). In particular, we prove that each of the fol…
math.LO2026
Combinatorial Properties Related to the Higher Baumgartner's Axiom
John Krueger
We isolate two combinatorial properties, each expressible by a -sentence over the structure , such that each property is consistent with…