Year

2009

Degree Name

Doctor of Philosophy

Department

School of Computer Science and Software Engineering - Faculty of Informatics

Abstract

This research describes and develops Knowledge Libraries, idealised systems for organising and presenting information. By providing a mathematical basis, the definition of information space establishes a formal foundation for Knowledge Libraries. The definition of information space builds on the new definitions of L-collections, which generalise sets by allowing a real valued grade to be associated with each element, and set space, which generalises metric space to better model the relationships between information units.

The multiple search tree method improves existing metric space range query algorithms. These algorithms are also generalised to work over set space. The sequential-hybrid algorithm enables efficient range queries over multi-dimensional spaces.

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Unless otherwise indicated, the views expressed in this thesis are those of the author and do not necessarily represent the views of the University of Wollongong.