On minimal flows, definably amenable groups, and o-minimality

详细信息    查看全文

• 作者：Anand Pillay^a ; ¹ ; ^{apillay@nd.edu" class="auth_mail" title="E-mail the corresponding author} ; Ningyuan Yao^b ; ²
• 关键词：Definable amenability ; o-Minimality ; Weak generic type ; NIP
• 刊名：Advances in Mathematics
• 出版年：2016
• 出版时间：26 February 2016
• 年：2016
• 卷：290
• 期：Complete
• 页码：483-502
• 全文大小：424 K

文摘

We study definably amenable groups in NIP theories, focusing on the problem raised in [10] of whether weak generic types coincide with almost periodic types, equivalently whether the union of minimal subflows of a suitable type space is closed. We give fairly definitive results in the o-minimal context, including a counterexample.