Tree-forcings and regularity properties of the real line
Abstract: We systematically study the connections between regularity properties of various tree-forcings. We analyze the known proofs of these implications
and show that they share common proof structures. The results we establish apply
also for the general kappa case, when kappa is regular uncountable.
In Chapters 3, 4 and 5 we introduce new notions of tree-forcing e.g. in Chapter 5 we study Mathias and Silver forcing parametrized by families with positive densities.
In Chapter 6 we study connections between regularity properties for the generalized club versions of tree-forcings. We apply the general framework we established in Chapter 2. We show that almost all implications from the omega case transfer to the general kappa case.
We show that Mathias-Club and Laver-Club are forcing equivalent
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Notes
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Universität Freiburg, Dissertation, 2021
- Keyword
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Forcing
Mengenlehre
- Event
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Veröffentlichung
- (where)
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Freiburg
- (who)
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Universität
- (when)
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2022
- Creator
- Contributor
- DOI
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10.6094/UNIFR/225881
- URN
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urn:nbn:de:bsz:25-freidok-2258815
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
-
15.08.2025, 7:37 AM CEST
Data provider
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Associated
Time of origin
- 2022
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