Saturated null and meager ideal
HTML articles powered by AMS MathViewer
- by Ashutosh Kumar and Saharon Shelah PDF
- Trans. Amer. Math. Soc. 371 (2019), 4475-4491 Request permission
Abstract:
We prove that the meager ideal and the null ideal could both be somewhere $\aleph _1$-saturated.References
- T. Bartozynski, “Measure and category", in Handbook of set theory, Vol. 2, edited by M. Foreman and A. Kanamori, Springer, New York, 2010, pp. 885–1147.
- P. Komjáth, On second-category sets, Proc. Amer. Math. Soc. 107 (1989), no. 3, 653–654. MR 976358, DOI 10.1090/S0002-9939-1989-0976358-7
- Saharon Shelah, The null ideal restricted to some non-null set may be $\aleph _1$-saturated, Fund. Math. 179 (2003), no. 2, 97–129. MR 2029228, DOI 10.4064/fm179-2-1
- Saharon Shelah, Covering of the null ideal may have countable cofinality, Fund. Math. 166 (2000), no. 1-2, 109–136. Saharon Shelah’s anniversary issue. MR 1804707, DOI 10.4064/fm-166-1-2-109-136
Additional Information
- Ashutosh Kumar
- Affiliation: Einstein Institute of Mathematics, The Hebrew University of Jerusalem, Edmond J. Safra Campus, Givat Ram, Jerusalem 91904, Israel
- MR Author ID: 1070394
- Email: akumar@math.huji.ac.il
- Saharon Shelah
- Affiliation: Einstein Institute of Mathematics, The Hebrew University of Jerusalem, Edmond J. Safra Campus, Givat Ram, Jerusalem 91904, Israel; and Department of Mathematics, Rutgers, The State University of New Jersey, Hill Center–Busch Campus, 110 Frelinghuysen Road, Piscataway, New Jersey 08854-8019
- MR Author ID: 160185
- ORCID: 0000-0003-0462-3152
- Email: shelah@math.huji.ac.il
- Received by editor(s): February 12, 2017
- Received by editor(s) in revised form: May 4, 2018, August 21, 2018, and September 10, 2018
- Published electronically: November 2, 2018
- Additional Notes: The first author is supported by a Postdoctoral Fellowship at the Einstein Insititute of Mathematics funded by European Research Council grant no. 338821
The second author is partially supported by European Research Council grant no. 338821, publication no. 1104 - © Copyright 2018 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 371 (2019), 4475-4491
- MSC (2010): Primary 03E35; Secondary 28A05, 03E55
- DOI: https://doi.org/10.1090/tran/7702
- MathSciNet review: 3917229