The left side of Cichoń’s diagram
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- by Martin Goldstern, Diego Alejandro Mejía and Saharon Shelah
- Proc. Amer. Math. Soc. 144 (2016), 4025-4042
- DOI: https://doi.org/10.1090/proc/13161
- Published electronically: April 27, 2016
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Abstract:
Using a finite support iteration of ccc forcings, we construct a model of $\aleph _1<\mathrm {add}(\mathcal {N})<\mathrm {cov}(\mathcal {N})<\mathfrak {b}< \mathrm {non}(\mathcal {M})<\mathrm {cov}(\mathcal {M})=\mathfrak {c}$.References
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Bibliographic Information
- Martin Goldstern
- Affiliation: Institut für Diskrete Mathematik und Geometrie, Technische Universität Wien, Wiedner Hauptstrasse 8-10/104, 1040 Vienna, Austria
- Email: goldstern@tuwien.ac.at
- Diego Alejandro Mejía
- Affiliation: Institut für Diskrete Mathematik und Geometrie, Technische Universität Wien, Wiedner Hauptstrasse 8-10/104, 1040 Vienna, Austria
- Address at time of publication: Department of Mathematics, Shizuoka University, Ohya 836, Shizuoka, 422-8529 Japan
- MR Author ID: 1022905
- Email: diego.mejia@shizuoka.ac.jp
- Saharon Shelah
- Affiliation: Einstein Institute of Mathematics, Edmond J. Safra Campus, Givat Ram, The hebrew University of Jerusalem, Jerusalem, 91904, Israel — and — Department of Mathematics, Rutgers University, New Brunswick, New Jersey 08854
- MR Author ID: 160185
- ORCID: 0000-0003-0462-3152
- Email: shlhetal@math.huji.ac.il
- Received by editor(s): April 19, 2015
- Received by editor(s) in revised form: November 17, 2015
- Published electronically: April 27, 2016
- Additional Notes: This work was partially supported by European Research Council grant 338821. The first and second authors were supported by the Austrian Science Fund (FWF) P24725-N25 (first author), P23875-N13 and I1272-N25 (second author) and they were partially supported by the National Science Foundation under grant DMS-1101597. Publication 1066 on the third author’s list.
- Communicated by: Mirna Džamonja
- © Copyright 2016 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 144 (2016), 4025-4042
- MSC (2010): Primary 03E17, 03E35, 03E40
- DOI: https://doi.org/10.1090/proc/13161
- MathSciNet review: 3513558