Generalisations of the fundamental theorem of projective geometry

Download files
Access & Terms of Use
open access
Copyright: McCallum, Rupert Gordon
Abstract
The fundamental theorem of projective geometry states that a mapping from a projective space to itself whose range has a sufficient number of points in general position is a projective transformation possibly combined with a self-homomorphism of the underlying field. We obtain generalisations of this in many directions, dealing with the case where the mapping is only defined on an open subset of the underlying space, or a subset of positive measure, and dealing with many different spaces over many different rings.
Persistent link to this record
Link to Publisher Version
Additional Link
Author(s)
McCallum, Rupert Gordon
Supervisor(s)
Creator(s)
Editor(s)
Translator(s)
Curator(s)
Designer(s)
Arranger(s)
Composer(s)
Recordist(s)
Conference Proceedings Editor(s)
Other Contributor(s)
Corporate/Industry Contributor(s)
Publication Year
2009
Resource Type
Thesis
Degree Type
PhD Doctorate
UNSW Faculty
Files
download whole.pdf 594.97 KB Adobe Portable Document Format
Related dataset(s)