New York Journal of Mathematics
Volume 23 (2017) 1321-1325

  

Azer Akhmedov

Groups not acting on compact metric spaces by homeomorphisms

view    print


Published: September 25, 2017
Keywords: Second countable groups, compact metric spaces, left-orderable groups
Subject: 54H20

Abstract
We show that the direct sum of uncountably many non-Abelian groups does not embed into the group of homeomorphisms of a compact metric space.

Author information

Department of Mathematics, North Dakota State University, PO Box 6050, Fargo, ND, 58108-6050
azer.akhmedov@ndsu.edu