کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8946338 | 1645341 | 2018 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Hyperspaces C(p,X) of finite graphs
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Given a continuum X and pâX, we will consider the hyperspace C(p,X) of all subcontinua of X containing p and the family K(X) of all hyperspaces C(q,X), where qâX. In this paper we give some conditions on the points p,qâX to guarantee that C(p,X) and C(q,X) are homeomorphic, for finite graphs X. Also, we study the relationship between the homogeneity degree of a finite graph X and the number of topologically distinct spaces in K(X), called the size of K(X). In addition, we construct for each positive integer n, a finite graph Xn such that K(Xn) has size n, and we present a theorem that allows to construct finite graphs X with a degree of homogeneity different from the size of the family K(X).
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 248, 1 October 2018, Pages 40-49
Journal: Topology and its Applications - Volume 248, 1 October 2018, Pages 40-49
نویسندگان
Florencio Corona-Vázquez, Russell Aarón Quiñones-Estrella, Javier Sánchez-MartÃnez, Hugo Villanueva,