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Title Generalisations of the fundamental theorem of projective geometry
Author(s) McCallum, Rupert Gordon, Mathematics & Statistics, Faculty of Science, UNSW
Resource Type Thesis
PhD Doctorate
Keyword(s) building
projective geometry
Bruhat-Tits
Date 2009
Description/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.
Language EN
Rights
Print Availability T/2009/73 (Ask at Level 2 Information Desk, UNSW Library)
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