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Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/804

Title: Properties of topologies of information retrieval systems
Authors: EGGHE, Leo
Issue Date: 1998
Publisher: Elsevier
Citation: Mathematical and Computer Modelling, 27(2). p. 61-79
Abstract: This paper studies topological properties of different topologies that are possible on the space of documents as they are induced by queries in a query space together with a similarity function between queries and documents. The main topologies studied here are the retrieval topology (introduced by Everett and Cater) and the similarity topology (introduced by Egghe and Rousseau). The studied properties are the separation properties T0, T1, and T2 (Hausdorff), proximity and connectedness. Full characterizations are given for the diverse topologies to be T0, T1, or T2. It is shown that the retrieval topology is not necessarily a proximity space, while the similarity topology and the pseudo-metric topology always are proximity spaces. A characterization of connectedness in terms of the Boolean NOT-operator is given, hereby showing the intimate relationship between IR and topology.
URI: http://hdl.handle.net/1942/804
DOI: 10.1016/S0895-7177(97)00260-4
ISI #: 000072245000004
ISSN: 0895-7177
Type: Journal Contribution
Validation: ecoom, 1999
Appears in Collections: Research publications

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