A new minimal non-σ-scattered linear order

Journal of Symbolic Logic 84 (4):1576-1589 (2019)
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Abstract

We will show it is consistent with GCH that there is a minimal non-σ-scattered linear order which does not contain any real or Aronszajn type. In particular the assumption PFA+ in the main result of [5] is necessary, and there are other obstructions than real and Aronszajn types to the sharpness of Laver’s theorem in [8].

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10.1017/jsl.2019.49

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A new class of order types.James E. Baumgartner - 1976 - Annals of Mathematical Logic 9 (3):187-222.

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