Cardinal characteristics at κ in a small u(κ) model

被引:15
作者
Brooke-Taylor, A. D. [1 ]
Fischer, V. [2 ]
Friedman, S. D. [2 ]
Montoya, D. C. [2 ]
机构
[1] Univ Bristol, Sch Math, Univ Walk, Bristol BS8 1TW, Avon, England
[2] Kurt Godel Res Ctr, Wahringer Str 25, A-1090 Vienna, Austria
基金
英国工程与自然科学研究理事会; 日本学术振兴会; 奥地利科学基金会;
关键词
Generalized cardinal characteristics; Forcing; Supercompact cardinals;
D O I
10.1016/j.apal.2016.08.004
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We provide a model where u(kappa) < 2(kappa) for a supercompact cardinal kappa. [10] provides a sketch of how to obtain such a model by modifying the construction in [6]. We provide here a complete proof using a different modification of [6] and further study the values of other natural generalizations of classical cardinal characteristics in our model. For this purpose we generalize some standard facts that hold in the countable case as well as some classical forcing notions and their properties. (C) 2016 Elsevier B.V. All rights reserved.
引用
收藏
页码:37 / 49
页数:13
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