A pretopological approach for structuring data in non-metric spaces

The aim of this paper is to bring out the structure of a space E which is not endowed with a metric. Indeed, there only is a family of binary relationships between points of E. The problem is to define a process to extract the structure E without building a distance between the elements of E. In thi...

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Bibliographic Details
Published in:Electronic notes in discrete mathematics 1999-04, Vol.2, p.1-9
Main Authors: Bonnevay, S., Lamure, M., Largeron-Leteno, C., Nicoloyannis, N.
Format: Article
Language:English
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Summary:The aim of this paper is to bring out the structure of a space E which is not endowed with a metric. Indeed, there only is a family of binary relationships between points of E. The problem is to define a process to extract the structure E without building a distance between the elements of E. In this way, we've used a method based on pretopological notions.
ISSN:1571-0653
1571-0653
DOI:10.1016/S1571-0653(04)00011-3