DESTRUCTIBILITY OF THE TREE PROPERTY AT ℵω+1

被引：2

作者：

Hayut, Yair ^{[1
]}

Magidor, Menachem ^{[1
]}

机构：

[1] Hebrew Univ Jerusalem, Einstein Inst Math, Edmond J Safra Campus, IL-9190401 Jerusalem, Israel

来源：

JOURNAL OF SYMBOLIC LOGIC | 2019年 / 84卷 / 02期

基金：

奥地利科学基金会;

关键词：

tree property; successors of singulars; forcing; SUCCESSORS;

D O I：

10.1017/jsl.2019.4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct a model in which the tree property holds in. aleph(omega+1) and it is destructible under Col(omega, omega(1)). On the other hand we discuss some cases in which the tree property is indestructible under small or closed forcings.

引用

页码：621 / 631

页数：11

共 50 条

[31] DESTRUCTIBILITY OF TRUSTS UNDER THE NEW YORK REVISED STATUTES
不详
COLUMBIA LAW REVIEW, 1905, 5 (05) : 391 - 393
[32] Property Testing of Regular Tree Languages
Frédéric Magniez
Michel de Rougemont
Algorithmica, 2007, 49 : 127 - 146
[33] Property testing of regular tree languages
Magniez, Frederic
de Rougemont, Michel
ALGORITHMICA, 2007, 49 (02) : 127 - 146
[34] The super tree property at the successor of a singular
Sherwood Hachtman
Dima Sinapova
Israel Journal of Mathematics, 2020, 236 : 473 - 500
[35] The Property Suffix Tree with Dynamic Properties
Kopelowitz, Tsvi
COMBINATORIAL PATTERN MATCHING, PROCEEDINGS, 2010, 6129 : 63 - 75
[36] A gap property of deterministic tree languages
Niwinski, D
Walukiewicz, I
THEORETICAL COMPUTER SCIENCE, 2003, 303 (01) : 215 - 231
[37] The strong tree property and the failure of SCH
Jin Du
Archive for Mathematical Logic, 2019, 58 : 867 - 875
[38] The definable tree property for successors of cardinals
Ali Sadegh Daghighi
Massoud Pourmahdian
Archive for Mathematical Logic, 2016, 55 : 785 - 798
[39] Property testing of regular tree languages
Magniez, F
de Rougemont, M
AUTOMATA , LANGUAGES AND PROGRAMMING, PROCEEDINGS, 2004, 3142 : 932 - 944
[40] The tree property and the continuum function below ℵω
Honzik, Radek
Stejskalova, Sarka
MATHEMATICAL LOGIC QUARTERLY, 2018, 64 (1-2) : 89 - 102

← 1 2 3 4 5 →