کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
11024706 | 1701085 | 2018 | 8 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Nonblockers in homogeneous continua
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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, an element Aâ2Xâ{X} is said to be a set that does not block singletons of X provided that for every point xâXâA, there exists an order arc α:[0,1]âC(X) such that α(0)={x}, α(1)=X and α(t)â©A=â
for all tâ[0,1). If A does not block singletons of X, we say that A is a nonblocker of X. In this paper, we present some properties about the sets that do not block singletons and, for a homogeneous curve X, we use the set NB(F1(X)) to construct a continuous decomposition of X that is a homogeneous curve and a Whitney level of C(X), where its elements are homogeneous, acyclic, hereditarily unicoherent and indecomposable continuum. Also, we prove that if X is a continuum such that NB(F1(X))=F1(X), then the next three properties are equivalent: 1) X is a homogeneous continuum, 2) X has the property that for all xâX, there exists a proper subcontinuum A of X such that xâInt(A), and 3) XâS1.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 249, 1 November 2018, Pages 127-134
Journal: Topology and its Applications - Volume 249, 1 November 2018, Pages 127-134
نویسندگان
C. Piceno,