کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4661238 | 1344416 | 2007 | 6 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Centers and shore points of a dendroid
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
هندسه و توپولوژی
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چکیده انگلیسی
A bottleneck in a dendroid is a continuum that intersects every arc connecting two nonempty open sets. Every dendroid contains a point called a center which is contained in arbitrarily small bottlenecks. A subset A of a dendroid is a shore set if for every ε>0 there is a continuum in D∖A with Hausdorff distance from D less than ε. If a shore set has only one point it is called a shore point. This paper explores the relationship between center points and shore points in a dendroid. We show that if a dendroid contains a strong center, then any finite union of the arc components of the set of shore points is a shore set.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 154, Issue 10, 15 May 2007, Pages 2167-2172
Journal: Topology and its Applications - Volume 154, Issue 10, 15 May 2007, Pages 2167-2172