More on almost Souslin Kurepa trees

Golshani, Mohammad

doi:10.1090/S0002-9939-2014-12082-X

More on almost Souslin Kurepa trees
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by Mohammad Golshani PDF

Proc. Amer. Math. Soc. 142 (2014), 3631-3634 Request permission

Abstract:

It is consistent that there exists a Souslin tree $T$ such that after forcing it, $T$ becomes an almost Souslin Kurepa tree. This answers a question of Zakrzewski.

References

Keith J. Devlin and Saharon Shelah, Souslin properties and tree topologies, Proc. London Math. Soc. (3) 39 (1979), no. 2, 237–252. MR 548979, DOI 10.1112/plms/s3-39.2.237
Gunter Fuchs, Club degrees of rigidity and almost Kurepa trees, Arch. Math. Logic 52 (2013), no. 1-2, 47–66. MR 3017276, DOI 10.1007/s00153-012-0306-7
Mohammad Golshani, Almost Souslin Kurepa trees, Proc. Amer. Math. Soc. 141 (2013), no. 5, 1821–1826. MR 3020868, DOI 10.1090/S0002-9939-2012-11461-3
Thomas J. Jech, Trees, J. Symbolic Logic 36 (1971), 1–14. MR 284331, DOI 10.2307/2271510
Thomas Jech, Set theory, Springer Monographs in Mathematics, Springer-Verlag, Berlin, 2003. The third millennium edition, revised and expanded. MR 1940513
M. Zakrzewski, Some problems concerning Kurepa trees, abstract of a contributed talk to the conference “Open days in set theory and arithmetic”, Jachranka, Poland, May 25-30, 1986, J. Symbolic Logic 52 (1987), no. 3, 894.