Souslin trees which are hard to specialise
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- by James Cummings PDF
- Proc. Amer. Math. Soc. 125 (1997), 2435-2441 Request permission
Abstract:
We construct some $\kappa ^+$-Souslin trees which cannot be specialised by any forcing which preserves cardinals and cofinalities. For $\kappa$ a regular cardinal we use the box-diamond principle, and for $\kappa$ singular we use squares and diamonds.References
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Additional Information
- James Cummings
- Affiliation: Mathematics Institute, Hebrew University, Givat Ram, 91904 Jerusalem, Israel
- Address at time of publication: Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, Pennsylvania 15213-3890
- MR Author ID: 289375
- ORCID: 0000-0002-7913-0427
- Email: cummings@math.huji.ac.il, jcumming@andrew.cmu.edu
- Received by editor(s): September 7, 1995
- Received by editor(s) in revised form: February 12, 1996
- Additional Notes: The author was supported by a Postdoctoral Fellowship at the Mathematics Institute, Hebrew University of Jerusalem
- Communicated by: Andreas R. Blass
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 2435-2441
- MSC (1991): Primary 03E05; Secondary 03E35
- DOI: https://doi.org/10.1090/S0002-9939-97-03796-9
- MathSciNet review: 1376756