کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4658548 1633100 2014 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An internal characterisation of radiality
ترجمه فارسی عنوان
مشخصه داخلی شعاع
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
چکیده انگلیسی

In this paper, we will investigate how radiality occurs in topological spaces by considering neighbourhood bases generated by nests. We will define a new subclass of radial spaces that contains LOTS, GO-spaces and spaces with well-ordered neighbourhood bases, called the independently-based spaces. We show that first-countable spaces are precisely the independently-based, strongly Fréchet spaces and we give an example of a Fréchet–Urysohn space that is neither independently-based nor strongly Fréchet.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 177, 1 November 2014, Pages 10–22
نویسندگان
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