کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5777800 1633049 2017 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Virtual Special Issue - Proceedings of the First Pan-Pacific International Conference on Topology and Applications (PPICTA)Connectedness like properties on the hyperspace of convergent sequences
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
Virtual Special Issue - Proceedings of the First Pan-Pacific International Conference on Topology and Applications (PPICTA)Connectedness like properties on the hyperspace of convergent sequences
چکیده انگلیسی

This paper is a continuation of the work done in [3] and [7]. We deal with the Vietoris hyperspace of all nontrivial convergent sequences Sc(X) of a space X. We answer some questions in [3] and generalize several results in [7]. We prove that: The connectedness of X implies the connectedness of Sc(X); the local connectedness of X is equivalent to the local connectedness of Sc(X); and the path-wise connectedness of Sc(X) implies the path-wise connectedness of X. We also show that the hyperspace of nontrivial convergent sequences on the Warsaw circle has c-many path-wise connected components, and provide a dendroid with the same property.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 230, 1 October 2017, Pages 639-647
نویسندگان
, ,