MSCA Project: Strong Axioms of Infinity - Frameworks, Interactions and Applications

This project has received funding from the European Union’s Horizon 2020 research and innovation programme under grant agreement No 842082.

Project Publications

• Philipp Lücke and Sandra Müller.
  Σ₁-definability at higher cardinals: Thin sets, almost disjoint families and long well-orders.
  Submitted. 38 pages, 2021.


• Philipp Lücke and Ioannis Souldatos.
  Non-absoluteness of Hjorth's cardinal characterization.
  Submitted. 20 pages, 2021.


• Philipp Lücke and Philipp Schlicht.
  Descriptive properties of higher Kurepa trees.
  To appear in Research Trends in Contemporary Logic (College Publications). 16 pages, 2020.


• Joan Bagaria and Philipp Lücke.
  Huge reflection.
  Annals of Pure and Applied Logic. Volume 174, Issue 1, 32 pages, 2023.


• Sean Cox and Philipp Lücke.
  Forcing axioms and the complexity of non-stationary ideals.
  Monatshefte für Mathematik. Volume 199, Issue 1, pp. 45-84, 2022.


• Philipp Lücke.
  Structural reflection, shrewd cardinals and the size of the continuum.
  Journal of Mathematical Logic. Volume 22, Issue 2, 43 pages, 2022.


• Philipp Lücke.
  Strong unfoldability, shrewdness and combinatorial consequences.
  Proceedings of the American Mathematical Society. Volume 150, Issue 9, pp. 4005-4020, 2022.


• Philipp Lücke and Sandra Müller.
  Closure properties of measurable ultrapowers.
  Journal of Symbolic Logic. Volume 86, Issue 2, pp. 762-784, 2021.


• Peter Holy and Philipp Lücke.
  Small Models, Large Cardinals, and Induced Ideals.
  Annals of Pure and Applied Logic. Volume 172, Issue 2, 50 pages, 2021.