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A NEW MINIMAL NON-σ-SCATTERED LINEAR ORDER

Published online by Cambridge University Press:  16 July 2019

HOSSEIN LAMEI RAMANDI
HOSSEIN LAMEI RAMANDI*
Affiliation:
DEPARTMENT OF MATHEMATICS UNIVERSITY OF TORONTO TORONTO, CANADAE-mail: [email protected]
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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].

Keywords

03E05Kurepa treesclub embeddingnon-σ-scattered
Type
Articles
Information
The Journal of Symbolic Logic , Volume 84 , Issue 4 , December 2019 , pp. 1576 - 1589
Copyright
Copyright © The Association for Symbolic Logic 2019 

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References

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