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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: http://orca.cf.ac.uk/id/eprint/84367

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