关于k-Suslin树的自乘积树  

ON THE PRODUCT OF k-SUSLIN TREES

作　　者：蒋永晶[1] 宋玉靖[1] 

机构地区：[1]大连教育学院,辽宁师范大学数学系

出　　处：《辽宁师范大学学报（自然科学版）》1996年第2期89-91,共3页Journal of Liaoning Normal University:Natural Science Edition

摘　　要：在定义了一般树的乘积树以后，讨论了文献［１］中关于ｋ－Ｓｕｓｌｉｎ树的自乘积树的一个命题．证明了当ｋ为正则基数时，ｋ－Ｓｕｓｌｉｎ树的自乘积树不再是ｋ－Ｓｕｓｌｉｎ树，并构造了一个ω－Ｓｕｓｌｉｎ树，其自乘积树仍然是ω－Ｓｕｓｌｉｎ树．in this paper,under the condition that the product of general trees had been defind,wediscussed a sentence about the product of k-Suslin trees in reference [1]. It was shown that if kis regular and T is a k-Suslin tree, then T T is not a k-Suslin tree, and an ω-Suslin 2tree wasgiven to show that if K is singular, then T T can be k-Suslin tree.

关 键 词：к-Suslin树 自乘积树 正则基数 基数 集合 

分 类 号：O144[理学—数学]