A NEW MINIMAL NON-σ-SCATTERED LINEAR ORDER

A NEW MINIMAL NON-σ-SCATTERED LINEAR ORDER

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...

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Veröffentlicht in:The Journal of symbolic logic 2019-12, Vol.84 (4), p.1576-1589
1. Verfasser: RAMANDI, HOSSEIN LAMEI
Format: Artikel
Sprache:eng
Schlagworte:
Logic
Mathematics
Philosophy
Realism
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Zusammenfassung: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].
ISSN:0022-4812
1943-5886
DOI:10.1017/jsl.2019.49