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The tree property at $aleph_{omega+2}$ with a finite gap
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SYSNO ASEP 0531294 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title The tree property at $aleph_{omega+2}$ with a finite gap Author(s) Friedman, S.-D. (AT)
Honzík, R. (CZ)
Stejskalová, Šárka (MU-W) ORCID, SAISource Title Fundamenta Mathematicae. - : Polska Akademia Nauk - ISSN 0016-2736
Roč. 251, č. 3 (2020), s. 219-244Number of pages 26 s. Language eng - English Country PL - Poland Keywords finite gap Subject RIV BA - General Mathematics OECD category Pure mathematics R&D Projects GF17-33849L GA ČR - Czech Science Foundation (CSF) Method of publishing Limited access Institutional support MU-W - RVO:67985840 UT WOS 000561710500001 EID SCOPUS 85092304257 DOI 10.4064/fm866-2-2020 Annotation 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. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2021 Electronic address http://dx.doi.org/10.4064/fm866-2-2020
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