This article is cited in 3 papers

Groups of line and circle homeomorphisms. Metric invariants and questions of classification

L. A. Beklaryan

Central Economics and Mathematics Institute Russian Academy of Sciences

Abstract: An approach to a classification of groups of line and circle homeomorphisms is discussed, based on chains of inclusions and correspondences of group classes which are induced by various characteristics of the groups.
Bibliography: 60 titles.

Keywords: groups of line (circle) homeomorphisms, projectively invariant measures, amenability, free subgroups, growth of a group.

UDC: 512.544.43

MSC: Primary 37E05, 37E10, 57M60; Secondary 20F05, 43A07

Received: 07.05.2014

DOI: 10.4213/rm9654

 English version: Russian Mathematical Surveys, 2015, 70:2, 203–248

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