A model with Suslin trees but no minimal uncountable linear orders other than ω1 and −ω1

Autor:	Dániel T. Soukup
Rok vydání:	2019
Předmět:	Combinatorics 010201 computation theory & mathematics Suslin tree General Mathematics 010102 general mathematics Uncountable set 0102 computer and information sciences 0101 mathematics Uniformization (set theory) Algebra over a field 01 natural sciences Mathematics
Zdroj:	Israel Journal of Mathematics. 233:199-224
ISSN:	1565-8511 0021-2172
DOI:	10.1007/s11856-019-1899-x
Popis:	We show that the existence of a Suslin tree does not necessarily imply that there are uncountable minimal linear orders other than ω1 and −ω1, answering a question of J. Baumgartner. This is done by a Jensen-type iteration, proving that one can force CH together with a restricted form of ladder system uniformization on trees, all while preserving a rigid Suslin tree.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::6452faf2dd1a2d50a0f051821a72a091 https://doi.org/10.1007/s11856-019-1899-x Zobrazit plný text záznamu Full text from SpringerLink