The least α for which E(α) is inadmissible

Journal of the Australian Mathematical Society

M. R. R. Hoole¹ 

关键词: 03 D 25;   

DOI  :  10.1017/S1446788700033565

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

This paper attempts to classify the least ordinal α0 for which E(α0) (the E closure of α0 ∪ {α0}) is inadmissible. Among the result proved are (i)Lα0 = ZFC-; (ii)α0 is very large in comparison with the least ordinal satifying (i); (iii) (α0, α] marks precisely an ω-Gap, where α¯ = E(α0) ∩ ON; (iv) the Kr-sequence of α0 has length ω.

【 授权许可】

Unknown