کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4658764 1633116 2014 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Shore points of a continuum
ترجمه فارسی عنوان
نقاط ساحلی یک پیوستار
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
چکیده انگلیسی
In this paper we extend the study of shore points to every continuum and we prove that every continuum has at least two shore points. This result generalizes an important theorem in Continuum Theory: Every continuum has at leasts two non-cut points. We show that every point of irreducibility is a shore point, and we give some conditions under which a shore point is a point of irreducibility. Also, we characterize uniquely irreducible continua, an arc and a simple closed curve using shore points. Finally, we show that the union of shore points in a uniquely irreducible continua is a shore set.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 161, 1 January 2014, Pages 433-441
نویسندگان
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