Sofic metric groups and continuous logic

2016/04/28 by Ivanov, A.
#03C20 #20E26 #FOS: Mathematics #Group Theory (math.GR) #Logic (math.LO)

paper · doi:10.48550/arxiv.1604.08446

Abstract

We define sofic, weakly sofic, linear sofic and hyperlinear metric groups and discuss some issues involving axiomatizability of these classes in continuous logic.

Related

• Actions of metric groups and continuous logic
• Groups which are metrically weakly sofic with respect to word norms
• Locally compact groups and continuous logic
• Metric Approximations of Wreath Products
• Linear sofic groups and algebras