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RESEARCH PRODUCT
On a projective representation of chain geometries
Armin Herzersubject
Set (abstract data type)Discrete mathematicsTransfer (group theory)Class (set theory)Pure mathematicsChain (algebraic topology)Order (group theory)Geometry and TopologyType (model theory)Rational normal curveProjective representationMathematicsdescription
We define a distance d on the set of r-spaces of an n-space. By the transfer of d to the GrasmannianG=G(n, r) we obtain a distinguished class of normal rational curves of order 1, the “1-distance lines’, 1=1,..., r, which are in 1–1-correspondence to the so-called “generalized reguli of type (r, 1)”.
year | journal | country | edition | language |
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1984-03-01 | Journal of Geometry |