Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

More on almost Souslin Kurepa trees


Author: Mohammad Golshani
Journal: Proc. Amer. Math. Soc. 142 (2014), 3631-3634
MSC (2010): Primary 03E35
DOI: https://doi.org/10.1090/S0002-9939-2014-12082-X
Published electronically: June 19, 2014
MathSciNet review: 3238438
Full-text PDF

Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)

  • [1] Keith J. Devlin and Saharon Shelah, Souslin properties and tree topologies, Proc. London Math. Soc. (3) 39 (1979), no. 2, 237-252. MR 548979 (80m:54031), https://doi.org/10.1112/plms/s3-39.2.237
  • [2] Gunter Fuchs, Club degrees of rigidity and almost Kurepa trees, Arch. Math. Logic 52 (2013), no. 1-2, 47-66. MR 3017276, https://doi.org/10.1007/s00153-012-0306-7
  • [3] Mohammad Golshani, Almost Souslin Kurepa trees, Proc. Amer. Math. Soc. 141 (2013), no. 5, 1821-1826. MR 3020868, https://doi.org/10.1090/S0002-9939-2012-11461-3
  • [4] Thomas J. Jech, Trees, J. Symbolic Logic 36 (1971), 1-14. MR 0284331 (44 #1560)
  • [5] Thomas Jech, Set theory, The third millennium edition, revised and expanded. Springer Monographs in Mathematics, Springer-Verlag, Berlin, 2003. MR 1940513 (2004g:03071)
  • [6] 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.

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2010): 03E35

Retrieve articles in all journals with MSC (2010): 03E35


Additional Information

Mohammad Golshani
Affiliation: School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P. O. Box 19395-5746, Tehran, Iran
Email: golshani.m@gmail.com

DOI: https://doi.org/10.1090/S0002-9939-2014-12082-X
Received by editor(s): August 22, 2012
Received by editor(s) in revised form: October 25, 2012
Published electronically: June 19, 2014
Additional Notes: This research was in part supported by a grant from IPM (No. 91030417)
The author wishes to thank the referee of the paper for some useful comments and remarks
Communicated by: Julia Knight
Article copyright: © Copyright 2014 American Mathematical Society

American Mathematical Society