کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4660871 | 1344389 | 2006 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Pointwise recurrent homeomorphisms with stable fixed points
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We prove that a pointwise recurrent, orientation preserving homeomorphism of the 2-sphere, which is different from the identity and whose fixed points are stable in the sense of Lyapunov must have exactly two fixed points. If moreover there are no periodic points, other than fixed, then every stable minimal set is connected and its complement has exactly two connected components. Finally, we study liftings of the restriction to the complement of the fixed point set to the universal covering space.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 153, Issue 7, 1 January 2006, Pages 1192-1201
Journal: Topology and its Applications - Volume 153, Issue 7, 1 January 2006, Pages 1192-1201