Enregistré dans:
| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2013
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/1304.0180 |
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Table des matières:
- The set $G$ of all $m$-dimensional subspaces of a $2m$-dimensional vector space $V$ is endowed with two relations, complementarity and adjacency. We consider bijections from $G$ onto $G'$, where $G'$ arises from a $2m'$-dimensional vector space $V'$. If such a bijection $ϕ$ and its inverse leave one of the relations from above invariant, then also the other. In case $m\geq 2$ this yields that $ϕ$ is induced by a semilinear bijection from $V$ or from the dual space of $V$ onto $V'$. As far as possible, we include also the infinite-dimensional case into our considerations.