An internal characterisation of radiality

Leek, Robert 2014. An internal characterisation of radiality. Topology and its Applications 177 , pp. 10-22.

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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.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Subjects:	Q Science > QA Mathematics
Uncontrolled Keywords:	Fréchet–Urysohn Independently-based Nest Nest system Radial Spoke Spoke system Strongly Fréchet Well-based
Additional Information:	Available online 23 August 2014
Publisher:	Elsevier
ISSN:	0166-8641
Date of Acceptance:	7 August 2014
Last Modified:	05 Mar 2019 15:40
URI:	https://orca.cardiff.ac.uk/id/eprint/84367

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