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Wolfgang Wohofsky's website

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I'm a mathematician working in set theory. I'm mainly interested in (iterated) forcing, its application to set theory of the reals, and special sets of real numbers.

Since 2015, I work as a postdoc at the University of Hamburg, in the Mathematical Logic group of Prof. Benedikt Löwe.

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Vorlesung: Formale Grundlagen der Informatik 3

  1. Vorlesung vom 16.10.2017

Publications

  1. Borel conjecture for the Marczewski ideal
    Jörg Brendle and Wolfgang Wohofsky
    To be published in Proc. Amer. Math. Soc.
  2. Refining systems of mad families
    Vera Fischer, Marlene Koelbing, and Wolfgang Wohofsky
    Israel J. Math., 262(1):191-234, 2024
    doi:10.1007/s11856-024-2626-9
  3. Fresh function spectra
    Vera Fischer, Marlene Koelbing, and Wolfgang Wohofsky
    Ann. Pure Appl. Logic, 174(9):Paper No. 103300, 31, 2023
    doi:10.1016/j.apal.2023.103300
  4. Games on base matrices
    Vera Fischer, Marlene Koelbing, and Wolfgang Wohofsky
    Notre Dame J. Form. Log., 64(2):247-251, 2023
    doi:10.1215/00294527-10701451
  5. Towers, mad families, and unboundedness
    Vera Fischer, Marlene Koelbing, and Wolfgang Wohofsky
    Arch. Math. Logic, 62(5-6):811-830, 2023
    doi:10.1007/s00153-023-00861-x
  6. Laver trees in the generalized Baire space
    Yurii Khomskii, Marlene Koelbing, Giorgio Laguzzi, and Wolfgang Wohofsky
    Israel J. Math., 255(2):599-620, 2023
    doi:10.1007/s11856-022-2465-5
  7. Ideal topologies in higher descriptive set theory
    Peter Holy, Marlene Koelbing, Philipp Schlicht, and Wolfgang Wohofsky
    Ann. Pure Appl. Logic, 173(4):Paper No. 103061, 36, 2022
    doi:10.1016/j.apal.2021.103061
  8. A Sacks amoeba preserving distributivity of P(ω)/fin
    Otmar Spinas and Wolfgang Wohofsky
    Fund. Math., 254(3):261-303, 2021
    doi:10.4064/fm961-9-2020
  9. Borel conjecture, dual Borel conjecture, and other variants of the Borel conjecture
    Wolfgang Wohofsky
    In Centenary of the Borel conjecture, volume 755 of Contemp. Math., pages 135-227. Amer. Math. Soc., [Providence], RI, [2020] © 2020
    doi:10.1090/conm/755/15216
  10. Cofinalities of Marczewski-like ideals
    Jörg Brendle, Yurii Khomskii, and Wolfgang Wohofsky
    Colloq. Math., 150(2):269-279, 2017
    doi:10.4064/cm7113-5-2017
  11. Strong measure zero in separable metric spaces and Polish groups
    Michael Hrušák, Wolfgang Wohofsky, and Ondřej Zindulka
    Arch. Math. Logic, 55(1-2):105-131, 2016
    doi:10.1007/s00153-015-0459-2
  12. There are no very meager sets in the model in which both the Borel conjecture and the dual Borel conjecture are true
    Saharon Shelah and Wolfgang Wohofsky
    MLQ Math. Log. Q., 62(4-5):434-438, 2016
    doi:10.1002/malq.201600002
  13. Borel conjecture and dual Borel conjecture
    Martin Goldstern, Jakob Kellner, Saharon Shelah, and Wolfgang Wohofsky
    Trans. Amer. Math. Soc., 366(1):245-307, 2014
    doi:10.1090/S0002-9947-2013-05783-2
  1. XX Y
  2. Vera Fischer, Marlene Koelbing, and Wolfgang Wohofsky. \newblock Refining systems of mad families. \newblock {\em Israel J. Math.}, 262(1):191--234, 2024. \newblock \href {https://doi.org/10.1007/s11856-024-2626-9} {\path{doi:10.1007/s11856-024-2626-9}}.
  3. Refining systems of mad families
    Vera Fischer, Marlene Koelbing, and Wolfgang Wohofsky
    Israel J. Math. (2024), 262(1):191-234
    doi:10.1007/s11856-024-2626-9
  4. Borel Conjecture and dual Borel Conjecture
    Martin Goldstern, Jakob Kellner, Saharon Shelah, and Wolfgang Wohofsky
    Trans. Amer. Math. Soc. 366 (2014), no. 1, 245-307
    Dedicated to the memory of Richard Laver (1942-2012)
    arXiv:1105.0823 (see also arXiv:1112.4424)
    MR3118397
  5. Strong measure zero in separable metric spaces and Polish groups
    Michael Hrušák, Wolfgang Wohofsky, and Ondřej Zindulka
    Archive for Mathematical Logic, February 2016, Volume 55, Issue 1, pp 105-131
  6. There are no very meager sets in the model in which both the Borel Conjecture and the dual Borel Conjecture are true
    Saharon Shelah and Wolfgang Wohofsky
    Mathematical Logic Quarterly, Volume 62, Issue 4-5, pages 434-438, August 2016
  7. Borel Conjecture for the Marczewski ideal
    Jörg Brendle and Wolfgang Wohofsky
    Submitted
  8. Cofinalities of Marczewski-like ideals
    Jörg Brendle, Yurii Khomskii, and Wolfgang Wohofsky
    Submitted
    arXiv:1611.08143
  9. Does the Galvin-Mycielski-Solovay theorem hold for uncountable cardinals?
    Wolfgang Wohofsky
    In preparation
  10. Strong measure zero at measurable cardinals
    Sy D. Friedman and Wolfgang Wohofsky
    In preparation
  11. On translations of E0 trees
    Jonathan Verner and Wolfgang Wohofsky
    In preparation
  12. A cardinal characteristic of Lebesgue measure
    Vera Fischer and Wolfgang Wohofsky
    In preparation
  13. Positive sets of reals in polarised partition relations
    Thilo Weinert and Wolfgang Wohofsky
    In preparation
  14. Strolling through paradise for generalized Cantor and Baire spaces
    Yurii Khomskii, Giorgio Laguzzi, and Wolfgang Wohofsky
    In preparation

Finished my PhD on October 7th 2013

The title of my thesis is "Special sets of real numbers and variants of the Borel Conjecture".

On Monday, October 7th 2013, I had my PhD defense.

Borel Conjecture and dual Borel Conjecture

Together with Martin Goldstern, Jakob Kellner and Saharon Shelah, I have worked on the joint paper "Borel Conjecture and dual Borel Conjecture".

We show the consistency of "Borel Conjecture + dual Borel Conjecture", i.e., the existence of a model of ZFC in which there is neither an uncountable strong measure zero set nor an uncountable strongly meager set.

Here is a link to "Borel Conjecture and Dual Borel Conjecture" on arXiv.

"Small subsets of the real line and generalizations of the Borel Conjecture"

From 2010 to 2011, I was recipient of the DOC fellowship of the Austrian Academy of Sciences. I had to prepare a poster on the occasion of the fellowship award ceremony taking place in February 2010.

You can view or download large versions of my poster either

poster

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