Aleph–zero categorical Stone algebras

Journal of the Australian Mathematical Society

Philip Olin¹ 

关键词: primary 02 G 20;    secondary 02 H 15;    08 A 05;   

DOI  :  10.1017/S1446788700011861

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

This paper is a contribution to the problem of characterizing the ℵ0-categorical Stone algebras. If the dense set is either finite or a chain, the problem is solved by reducing it to the ℵ0-categoricity of the skeleton and the dense set, solutions for these being known. If the dense set is a Boolean algebra, we show that this type of reduction works for certain subclasses but not for all such algebras. For generalized Post algebras the characterization problem is solved completely.

【 授权许可】

Unknown