|
This article is cited in 14 scientific papers (total in 14 papers)
On the classification of groups of orientation-preserving homeomorphisms of $\mathbb R$.
II. Projectively-invariant measures
L. A. Beklaryan Central Economics and Mathematics Institute, RAS
Abstract:
Groups of orientation-preserving homeomorphisms of $\mathbb R$ are studied. Such metric invariants as projectively-invariant measures are investigated. The approach taken results in the classification of groups of homeomorphisms by the complexity of the set of all fixed points of the group elements. In each of the classes of groups thus distinguished a finer classification is carried out in terms of the complexity of the topological structure of orbits and the combinatorial properties of the group.
Received: 26.05.1993 and 22.08.1995
Citation:
L. A. Beklaryan, “On the classification of groups of orientation-preserving homeomorphisms of $\mathbb R$.
II. Projectively-invariant measures”, Sb. Math., 187:4 (1996), 469–494
Linking options:
https://www.mathnet.ru/eng/sm121https://doi.org/10.1070/SM1996v187n04ABEH000121 https://www.mathnet.ru/eng/sm/v187/i4/p3
|
|