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


Azer Akhmedov

Groups not acting on compact metric spaces by homeomorphisms

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

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