A formal topology of web classification

Abstract

The World Wide Web is a graph in which the nodes are the pages and the edges are web links. A classification associates to each web page a set of documents. This paper presents a topological approach of the web classification, aiming to describe classifications and search processes over the web. An original feature is provided by the distinctness operators which are able to detect when a document is not in a certain classification class. We prove that there is a bijection between regular distinctness operators and regular topologies. Adding some properties to a regular distinctness operator, we associate it to a regular Alexandrov topology. © 2014 Springer International Publishing.