| Autor: |
Grines, V. Z., Pochinka, O. V., Chilina, E. E. |
| Předmět: |
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| Zdroj: |
Journal of Mathematical Sciences; Mar2023, Vol. 270 Issue 5, p683-692, 10p |
| Abstrakt: |
On closed orientable 3-manifolds, we consider a class G of homeomorphisms such that the nonwandering set of each f ∈ G is the finite union of surfaces such that the restriction of some power fk on each of these surfaces is a pseudo-Anosov homeomorphism. We prove that homeomorphisms of class G exist only on 3-manifolds of the form Sg × ℝ/(J(z),r−1), where J : Sg → Sg is either a pseudo-Anosov homeomorphism of the surface Sg of genus g > 1 or a periodic homeomorphism commuting with some pseudo-Anosov homeomorphism. On such a manifold, we construct model homeomorphisms and find necessary and sufficient conditions for topological conjugacy of model mappings. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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