Transformations preserving adjacency and base subsets of spine spaces |
| |
| Authors: | M Pankov K Prażmowski M Żynel |
| |
| Institution: | 1. Institute of Mathematics, National Academy of Science of Ukraine, Tereshchenkivska 3, 01601, Kiev, Ukraine
2. Institute of Mathematics, University of Bialystok, Akademicka 2, 15-267, Bialystok, Poland
|
| |
| Abstract: | 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. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
