Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4658548 | Topology and its Applications | 2014 | 13 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Robert Leek,