This project started on February 1, 2023 and will run until January 31, 2026. The awarded grants are 366,628.50€.
The lambda-PSP at lambda-coanalytic sets
(with F. Barrera and V. Dimonte)
Submitted. PDF. arXiv.
Bibtex.
@ARTICLE{BaDiMu25,
AUTHOR = {F. Barrera and V. Dimonte and S. Müller},
TITLE = {The $\lambda$-PSP at $\lambda$-coanalytic sets},
JOURNAL = {},
VOLUME = {},
ISSUE = {},
YEAR = {2025},
PAGES = {},
EPRINT = {2504.15675},
DOI = {}}
Gödel's Program in Set Theory
(with G. Sargsyan)
Submitted. PDF. arXiv.
Bibtex.
@ARTICLE{MuSa25,
AUTHOR = {S. Müller and G. Sargsyan},
TITLE = {Gödel's Program in Set Theory},
JOURNAL = {},
VOLUME = {},
ISSUE = {},
YEAR = {2025},
PAGES = {},
EPRINT = {2412.07325},
DOI = {}}
Outward compactness
(with P. Holy and P. Lücke)
Israel Journal of Mathematics, accepted. PDF. arXiv.
Bibtex.
@ARTICLE{HLM24,
AUTHOR = {P. Holy and P. Lücke and S. Müller},
TITLE = {Outward compactness},
JOURNAL = {Israel Journal of Mathematics},
VOLUME = {},
ISSUE = {},
YEAR = {2024},
PAGES = {},
EPRINT = {2402.15788},
DOI = {}}
Sigma_1-definability at higher cardinals: Thin sets, almost disjoint families and long well-orders
(with P. Lücke)
Forum of Mathematics, Sigma. Volume 11, 2023. e103.
DOI: 10.1017/fms.2023.102. PDF. arXiv.
Bibtex.
@ARTICLE{LM23,
AUTHOR = {P. Lücke and S. Müller},
TITLE = {Sigma_1-definability at higher cardinals: Thin sets, almost disjoint families and long well-orders},
JOURNAL = {Forum of Mathematics, Sigma},
VOLUME = {11},
ISSUE = {},
YEAR = {2023},
PAGES = {},
EPRINT = {2110.01468},
DOI = {10.1017/fms.2023.102}}
Chang models over derived models with supercompact measures
(with T. Gappo and G. Sargsyan)
Journal of Mathematical Logic, accepted.
PDF. arXiv.
Bibtex.
@ARTICLE{GMS23,
AUTHOR= {T. Gappo and S. Müller and G. Sargsyan},
TITLE= {Chang models over derived models with supercompact measures},
JOURNAL={Journal of Mathematical Logic},
VOLUME = {},
ISSUE = {},
YEAR = {2023},
PAGES = {},
EPRINT = {2307.08607},
DOI = {}}
Towards a generic absoluteness theorem for Chang models
(with G. Sargsyan)
Submitted.
PDF. arXiv.
Bibtex.
@ARTICLE{MS23,
AUTHOR= {S. Müller and G. Sargsyan},
TITLE= {Towards a generic absoluteness theorem for Chang models},
JOURNAL={},
VOLUME = {},
ISSUE = {},
YEAR = {2023},
PAGES = {},
EPRINT = {2304.07623},
DOI = {}}
Determinacy and Large Cardinals
Logic and Its Applications. Lecture Notes in Computer Science. Volume 13963.
PDF.
Bibtex.
@INPROCEEDINGS{MuICLA,
AUTHOR= {S. Müller},
TITLE= {Determinacy and Large Cardinals},
SERIES = {Lecture Notes in Computer Science},
BOOKTITLE = {Logic and Its Applications},
VOLUME = {13963},
YEAR = {},
PAGES = {},
DOI = {}}