Publications Jakob Kellner

• You can use the arXiv links for abstracts and for ps or pdf files of the preprints.
• For published papers, a PDF file of the published version is provided (this version will generally differ slightly from the arXiv version, usually the published version is the one with the smallest number of typos).
• Once a paper is listed in MathSciNet/MathReviews, an MR link is provided (subscription required).
• ORCID: 0000-0002-8815-7357.

Preprints

• with S. Shelah and A. Latif: On automorphisms of P(λ)/[λ]^<λ.
  arXiv:2206.02228

Refereed journal articles

22. with M. Goldstern, D. Mejia and S. Shelah: Cichoń's Maximum without large cardinals.
    J. Eur. Math. Soc. (JEMS) 24 (2022) No 11, pp 3951–3967.
    PDF, arXiv:1906.06608, doi:10.4171/JEMS/1178, BIB.
21. with M. Goldstern, D. Mejia and S. Shelah: Controlling classical cardinal characteristics while collapsing cardinals.
    Colloq. Math. 170 (2022) Nr 1, pp 115–144.
    PDF, arXiv:1904.02617, doi:10.4064/cm8420-2-2022, MR4460218, BIB.
20. with M. Goldstern, D. Mejia and S. Shelah: Preservation of splitting families and cardinal characteristics of the continuum.
    Israel J. Math. 246 (2021), 73–129
    PDF, arXiv:2007.13500, doi:10.1007/s11856-021-2237-7, MR4358274, BIB,
19. with M. Goldstern, D. Mejia and S. Shelah: Controlling cardinal characteristics without adding reals.
    J. Math. Logic. 21 (2021), no. 3, 2150018
    PDF, arXiv:2006.09826, doi:10.1142/S0219061321500185, MR4330526, BIB.
18. with M. Goldstern and S. Shelah: Cichoń's Maximum.
    Ann. of Math. 190 (2019), no. 1, 113–143
    PDF, arXiv:1708.03691, doi:10.4007/annals.2019.190.1.2, MR3990602, BIB.
17. with S. Shelah and A. Tanasie: Another ordering of the ten cardinal characteristics in Cichoń's Diagram.
    Comment. Math. Univ. Carolin. 60 (2019), no. 1, 61–95.
    Dedicated to the memory of Bohuslav Balcar (1943–2017).
    PDF, arXiv:1712.00778, doi:10.14712/1213-7243.2015.273, MR3946665, BIB.
16. with A. Tanasie and F. Tonti: Compact Cardinals and Eight Values in Cichoń's Diagram.
    J. Symbolic Logic. 83 (2018), no. 2, 790–803
    PDF, arXiv:1706.09638, doi:10.1017/jsl.2018.17, MR3835089, BIB.
15. with A. Fischer, M. Goldstern and S. Shelah: Creature forcing and five cardinal characteristics of the continuum.
    Arch. Math. Logic 56 (2017), no. 7–8, 1045–1103
    Dedicated to the memory of James E. Baumgartner (1943–2011).
    PDF, arXiv:1402.0367, doi:10.1007/s00153-017-0553-8, MR3696076, BIB.
14. Pitowsky’s Kolmogorovian models and Super-Determinism.
    Found. Phys. 47 (2017), no. 1, 132–148.
    PDF, arXiv:1606.06849, doi:10.1007/s10701-016-0049-0, MR3599613, BIB.
13. with M. Goldstern, S. Shelah and W. Wohofsky: Borel Conjecture and Dual Borel Conjecture.
    Trans. Amer. Math. Soc. 366 (2014), no. 1, 245–307
    Dedicated to the memory of Richard Laver (1942–2012).
    PDF, arXiv:1105.0823 doi:10.1090/S0002-9947-2013-05783-2, MR3118397, BIB.
    (See also arXiv:1112.4424.)
12. Non elementary proper forcing.
    Rend. Semin. Mat. Univ. Politec. Torino 70 (2012), no. 3, 207–246
    PDF, arXiv:math/0910.2132, MR3305544, BIB.
11. with S. Shelah: Creature forcing and large continuum: The joy of halving.
    Arch. Math. Logic 51 (2012), no. 1–2, 49–70.
    PDF, arXiv:1003.3425, doi:10.1007/s00153-011-0253-8, MR2864397, BIB.
10. with S. Shelah: Saccharinity.
    J. Symbolic Logic 74 (2011), no. 4, 1153–1183.
    Dedicated to the memory of Greg Hjorth (1963–2011).
    PDF, arXiv:math/0511330, doi:10.2178/jsl/1318338844, MR2895391, BIB.
9. with S. Shelah: More on the pressing down game.
   Arch. Math. Logic 50 (2011), no. 3, 477–501,
   PDF, arXiv:0905.3913, doi:10.1007/s00153-011-0227-x, MR2786767, BIB.
8. with S. Shelah: A Sacks Real out of Nowhere.
   J. Symbolic Logic 75 (2010), no. 1, 51–76,
   PDF, arXiv:math/0703302, doi:10.2178/jsl/1264433909, MR2605882, BIB.
7. with S. Shelah: Decisive creatures and large continuum.
   J. Symbolic Logic 74 (2009), no. 1, 73–104,
   PDF, arXiv:math/0601083, doi:10.2178/jsl/1231082303, MR2499421, BIB.
6. Even more simple cardinal invariants.
   Arch. Math. Logic 47 (2008), no. 5, 503–515,
   PDF, arXiv:0706.0319, doi:10.1007/s00153-008-0094-2, MR2425542, BIB
5. with Matti Pauna and S. Shelah: Winning the pressing down game but not Banach Mazur.
   J. Symbolic Logic 72 (2007), no. 4, 1323–1335,
   PDF, arXiv:math/0609655, doi:10.2178/jsl/1203350789, MR2371208, BIB.
4. Preserving Non-Null with Suslin⁺ forcing.
   Arch. Math. Logic 45 (2006), no. 6, 649–664,
   PDF, arXiv:math/0211385, doi:10.1007/s00153-006-0008-0, MR2252247, BIB.
3. with M. Goldstern: New reals: Can live with them, can live without them.
   Math. Log. Quart. 52 (2006), no. 2, 115–124,
   Errata (Sep 2015), PDF, arXiv:math/0505471, doi:10.1002/malq.200510018, MR2214624, BIB.
2. with S. Shelah: Preserving preservation.
   J. Symbolic Logic 70 (2005), no. 3, 914–945,
   PDF, arXiv:math/0405081, doi:10.2178/jsl/1122038920, MR2155272, BIB.
1. with H. Ploss: F-Products and Nonstandard Hulls for Strongly Continuous One-parameter Semigroups of Linear Operators.
   Math. Log. Quart. 50 (2004), no. 1, 18–28,
   PDF, arXiv:math/0005130, doi:10.1002/malq.200310071, MR2029601, BIB.

Popular science articles

• with M. Goldstern: A Deep Math Dive into Why Some Infinities Are Bigger Than Others,
  Scientific American, August 16, 2021.

  This is a (heavily modified) version of the following German article:

• with M. Goldstern: Ordnung in den Unendlichkeiten
  Spektrum der Wissenschaft, März 2021, pp 74-82
  PDF (reprinted in Spektrum Spezial Physik-Mathematik-Technik 3.22, 2022).

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