Aronszajn and Kurepa trees

作者:Cummings James*
来源:Archive for Mathematical Logic, 2018, 57(1-2): 83-90.
DOI:10.1007/s00153-017-0579-y

摘要

Monroe Eskew (Tree properties on omega(1) and omega(2), 2016. https://mathoverflow.net/questions/217951/tree-properties-on-omega-1-and-omega-2) asked whether the tree property at omega(2) implies there is no Kurepa tree (as is the case in the Mitchell model, or under PFA). We prove that the tree property at omega(2) is consistent with the existence of omega(1)-trees with as many branches as desired.

  • 出版日期2018-2

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