摘要
在文献[2]中,C.Sureson定义并研究了模型N.本文证明了下面结论:假设NZF,则(i) 如果又是弱紧基数,那么它在N中也是弱紧的.(ii) 如果λ是难形容的,那么它在N中也是难形容的.(iii) 如果V=N,则不存在可测基数.
N is the model defined in[2]by C.Sureson.In this paper,it is shown that if N|=ZF,then(i)if is a weakly compact cardinal,then it is weakly compact in N,too.(ii)if is an ineffable cardinal,then it is ineffable in N,too.(iii)V=N implies that there is no measurable cardinal.
出处
《河南师范大学学报（自然科学版）》
CAS
CSCD
1990年第2期13-15,共3页
Journal of Henan Normal University(Natural Science Edition)
关键词
模型N
弱紧基数
难形容基数
the model N
weakly compact cardinal
ineffable cardinal
