The tree property at $aleph_{omega+2}$ with a finite gap

0531294 - MÚ 2021 RIV PL eng J - Journal Article
Friedman, S.-D. - Honzík, R. - Stejskalová, Šárka
The tree property at $aleph_{omega+2}$ with a finite gap.
Fundamenta Mathematicae. Roč. 251, č. 3 (2020), s. 219-244. ISSN 0016-2736. E-ISSN 1730-6329
R&D Projects: GA ČR GF17-33849L
Institutional support: RVO:67985840
Keywords : finite gap
OECD category: Pure mathematics
Impact factor: 0.690, year: 2020
Method of publishing: Limited access
http://dx.doi.org/10.4064/fm866-2-2020

Let n be a natural number, 2<=n<=omega. We show that it is consistent to have a model of set theory where aleph_omega is strong limit, ..., and the tree property holds at aleph_omega+2, we use a hypermeasurable cardinal of an appropriate degree and a variant of the Mitchell forcing followed by the Prikry forcing with collapses.
Permanent Link: http://hdl.handle.net/11104/0309981