کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4657811 1633069 2016 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Meager composants of continua
ترجمه فارسی عنوان
آهنگسازان باتجربه از مداوم
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
چکیده انگلیسی

Given a metric continuum X and a point p of X, the meager composant of p in X is defined as the union of all nowhere dense subcontinua of X that contain p. In this paper we study some topological properties of meager composants. In particular, we show that if a continuum contains a meager composant that is not closed, then the continuum must be non-Suslinean. Also, if a hereditarily k-coherent continuum has a non-closed meager composant, then the continuum must contain an indecomposable subcontinuum. Furthermore, if the hypothesis of having a singular dense meager composant is added, then both hereditarily k-coherent continua and irreducible continua must be indecomposable. Additionally, we provide many interesting examples and open problems.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 210, 1 September 2016, Pages 292–310
نویسندگان
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