Distributive proper forcing axiom and a left-right dichotomy of Cichon's diagram

被引：1
|
作者：
Huiling Zhu [1 ]
机构：
[1] School of Data and Computer Science, Sun Yat-sen University
来源：
Science China Mathematics | 2018年 / 04期
关键词：
forcing axiom; Cichon’s diagram; preservation;
D O I：
暂无
中图分类号：
O156 [数论];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study distributive proper forcing axiom(DPFA) and prove its consistency with a dichotomy of the Cichon’s diagram, relative to certain large cardinal assumption. Namely, we evaluate the cardinal invariants in Cichon’s diagram with the first two uncountable cardinals in the way that the left-hand side has the least possible cardinality while the right-hand side has the largest possible value, and preserve the evaluation along the way of forcing DPFA.
引用
收藏
页码：677 / 684
页数：8
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