Transformations preserving adjacency and base subsets of spine spaces

Transformations of spine spaces which preserve base subsets preserve also adjacency. They either preserve the two sorts of projective adjacency or interchange them. Lines of a spine space can be defined in terms of adjacency, except one case where projective lines have no proper extensions to projec...

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Bibliographic Details
Published in:Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2005-01, Vol.75 (1), p.21-50
Main Authors: Pankov, M., Prażmowski, K., Żynel, M.
Format: Article
Language:English
Subjects:
Subspaces
Transformations
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Summary:Transformations of spine spaces which preserve base subsets preserve also adjacency. They either preserve the two sorts of projective adjacency or interchange them. Lines of a spine space can be defined in terms of adjacency, except one case where projective lines have no proper extensions to projective maximal strong subspaces, and thus adjacency preserving transformations are collineations.
ISSN:0025-5858
1865-8784
DOI:10.1007/BF02942034