Strong Axioms of Infinity: Frameworks, Interactions and Applications

Project Information

SAIFIA

Grant agreement ID: 842082

DOI

10.3030/842082

Project closed

EC signature date 23 April 2019

Start date 1 August 2020

End date 31 July 2022

Funded under

• EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions

Total cost

€ 172 932,48

EU contribution

€ 172 932,48

Coordinated by

UNIVERSITAT DE BARCELONA
Spain

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Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Other (2)

Non-absoluteness of Hjorth's Cardinal Characterization

Author(s): Philipp Lücke, Ioannis Souldatos
Published in: 2021
Publisher: arXiv
DOI: 10.48550/arxiv.2109.07310

\Sigma_1-definability at higher cardinals: Thin sets, almost disjoint families and long well-orders

Author(s): Philipp Lücke, Sandra Müller
Published in: 2021
Publisher: arXiv
DOI: 10.48550/arxiv.2110.01468

Peer reviewed articles (6)

Structural reflection, shrewd cardinals and the size of the continuum

Author(s): Philipp Lücke
Published in: Journal of Mathematical Logic, Issue 22, 2022, Page(s) 2250007, 43 pages, ISSN 0219-0613
Publisher: Singapore University Press
DOI: 10.48550/arxiv.2101.04552

CLOSURE PROPERTIES OF MEASURABLE ULTRAPOWERS

Author(s): Philipp Lücke; Sandra Müller
Published in: The Journal of Symbolic Logic, Issue 86, 2021, Page(s) 762-784, ISSN 0022-4812
Publisher: Association for Symbolic Logic
DOI: 10.1017/jsl.2021.29

Small models, large cardinals, and induced ideals

Author(s): Peter Holy; Philipp Lücke
Published in: Annals of Pure and Applied Logic, Issue 172, 2021, Page(s) Paper No. 102889, 50 pages, ISSN 0168-0072
Publisher: Elsevier BV
DOI: 10.1016/j.apal.2020.102889

Forcing axioms and the complexity of non-stationary ideals

Author(s): Cox, Sean; Lücke, Philipp
Published in: Monatshefte für Mathematik, Issue 199, 2022, Page(s) 45-84, ISSN 0026-9255
Publisher: Springer Verlag
DOI: 10.1007/s00605-022-01734-w

Strong unfoldability, shrewdness and combinatorial consequences

Author(s): Philipp Lücke
Published in: Proceedings of the American Mathematical Society, Issue 9, 2022, Page(s) 4005-4020, ISSN 0002-9939
Publisher: American Mathematical Society
DOI: 10.48550/arxiv.2107.12722

Huge Reflection

Author(s): Joan Bagaria, Philipp Lücke
Published in: Annals of Pure and Applied Logic, Issue 174, 2022, Page(s) 32 pages, ISSN 0168-0072
Publisher: Elsevier BV
DOI: 10.1016/j.apal.2022.103171

Book chapters (1)

Descriptive properties of higher Kurepa trees

Author(s): Lücke, Philipp; Schlicht, Philipp
Published in: Research Trends in Contemporary Logic, 2023
Publisher: College Publications
DOI: 10.48550/arxiv.2010.11597