کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9516803 | 1633122 | 2005 | 9 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On fixed points of Knaster continua
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Aarts and Fokkink [Proc. Amer. Math. Soc. 126 (1998) 881] have shown that any homeomorphism of the bucket handle has at least two fixed points. Using their methods, we determine the minimum number of fixed points homeomorphisms on generalized one-dimensional Knaster continua can have. We show that there is a class of these continua that admit homeomorphisms with a single fixed point. Among the examples is one that shows that Theorem 15 in [Proc. Amer. Math. Soc. 126 (1998) 881] is incorrect. We also show that there are generalized Knaster continua on which every homeomorphism has either uncountably many fixed points or uncountably many points of period two.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 153, Issues 2â3, 1 September 2005, Pages 318-326
Journal: Topology and its Applications - Volume 153, Issues 2â3, 1 September 2005, Pages 318-326
نویسندگان
James Keesling, Vincent A. Ssembatya,