Scales, Diamond and the Strong Tree Property
thesis
posted on 2018-11-27, 00:00 authored by Jin Yang DuIn this thesis, I prove two consistency results in set theory. The first concerns GCH, very good and bad scales, and the failure of diamond at the successor of a singular. The second concerns the failure of SCH and arbitrary long initial segments of the strong tree property at the successor of a singular.
History
Advisor
Sinapova, DimaChair
Sinapova, DimaDepartment
Mathematics, Statistics and Computer ScienceDegree Grantor
University of Illinois at ChicagoDegree Level
- Doctoral
Committee Member
Cummings, James Marker, David Baldwin, John Hachtman, SherwoodSubmitted date
August 2018Issue date
2018-08-20Usage metrics
Categories
No categories selectedLicence
Exports
RefWorks
BibTeX
Ref. manager
Endnote
DataCite
NLM
DC