Definable sets in Stone algebras

作者：Chen, Lei; Shi, Niandong^*; Wu, Guohua

来源：Archive for Mathematical Logic, 2016, 55(5-6): 749-757.

DOI：10.1007/s00153-016-0491-x

• Pseudo o-minimality
• Connected subset
• Decomposition

We investigate the definable subsets of Stone algebras, introduce the notion of pseudo o-minimality of partially ordered structures, and prove that the completion of the theory of Stone algebras is pseudo o-minimal. We also give the decomposition theorem of Stone algebras.

• 出版日期2016-8
• 单位北京师范大学