Almost Souslin Kurepa trees
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- by Mohammad Golshani
- Proc. Amer. Math. Soc. 141 (2013), 1821-1826
- DOI: https://doi.org/10.1090/S0002-9939-2012-11461-3
- Published electronically: November 21, 2012
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Abstract:
We show that the existence of an almost Souslin Kurepa tree is consistent with $ZFC$. We also prove their existence in $L$. These results answer two questions from a paper by Zakrzewski.References
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Bibliographic Information
- Mohammad Golshani
- Affiliation: Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran – and – School of Mathematics, Institute for Research in Fundamental Sciences (IPM), Tehran, Iran
- Email: golshani.m@gmail.com
- Received by editor(s): July 12, 2011
- Received by editor(s) in revised form: August 13, 2011, August 17, 2011, and September 11, 2011
- Published electronically: November 21, 2012
- Additional Notes: The author would like to thank the School of Mathematics, Institute for Research in Fundamental Sciences (IPM), for their support during the preparation of this paper. He also wishes to thank Dr. E. Eslami and Dr. Sh. Mohsenipour for their inspiration and encouragement.
- Communicated by: Julia Knight
- © Copyright 2012 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 141 (2013), 1821-1826
- MSC (2010): Primary 03E35
- DOI: https://doi.org/10.1090/S0002-9939-2012-11461-3
- MathSciNet review: 3020868