In this paper we give a characterization of the Grassmann space of a planar space.
A Characterization of Grassmann Spaces of Index h of a Projective Space
โ Scribed by Eva Ferrara Dentice
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 186 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0195-6698
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๐ SIMILAR VOLUMES
It is known that if L is a nondegenerate linear space with II points and if P is a point of L, there exist at least 1 . -fi] lines that do not contain P with equality iff L is a projective plane. This result is stronger than the famous de Bruijn-Erdos Theorem, which states that every nondegenerate l
We show that a Banach space is Hilbert if any only if its duality map maps line segments to convex sets.
Here Z denotes the dual of Z, and โณ# denotes the polar of โณ taken in Z.
Bypassing much theory from integral geometry, we construct an elementary measure on a space whose elements can represent rank k orthogonal projections in N . By replacing the Grassmannian G N k with a simple product space k j=1 S N-1 we are able to reproduce certain important features of the nontriv
## Abstract Compact metric spaces ฯ of such a kind, that ๐น~__f__~ =๐น(__X__), are characterized, ๐น(__X__) is the ฯโfield of BOREL sets and ๐น~__f__~(__X__) is the field generated by all open subset of __X__. Our main result is Theorem 5: If ฯ is a compact metric space, then the following conditions a