کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4657633 | 1343999 | 2008 | 30 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
3-manifolds which are orbit spaces of diffeomorphisms
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
هندسه و توپولوژی
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چکیده انگلیسی
In a very general setting, we show that a 3-manifold obtained as the orbit space of the basin of a topological attractor is either S2×S1S2×S1 or irreducible.We then study in more detail the topology of a class of 3-manifolds which are also orbit spaces and arise as invariants of gradient-like diffeomorphisms (in dimension 3). Up to a finite number of exceptions, which we explicitly describe, all these manifolds are Haken and, by changing the diffeomorphism by a finite power, all the Seifert components of the Jaco–Shalen–Johannson decomposition of these manifolds are made into product circle bundles.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology - Volume 47, Issue 2, March 2008, Pages 71–100
Journal: Topology - Volume 47, Issue 2, March 2008, Pages 71–100
نویسندگان
C. Bonatti, L. Paoluzzi,