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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Numerical invariants for semiconjugacy of homeomorphisms of the circle


Author: Shigenori Matsumoto
Journal: Proc. Amer. Math. Soc. 98 (1986), 163-168
MSC: Primary 58F35; Secondary 54H20, 57R30, 57S25
DOI: https://doi.org/10.1090/S0002-9939-1986-0848896-6
MathSciNet review: 848896
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Abstract: We give numerical invariants for deciding when two actions of a given group on the circle are semiconjugate. We give conditions for vanishing of an invariant called bounded real Euler class. We also determine endomorphisms of the discrete group $ {\text{PSL}}(2,{\mathbf{R}})$.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1986-0848896-6
Keywords: Semiconjugacy, bounded cohomology, bounded Euler class
Article copyright: © Copyright 1986 American Mathematical Society