A Note on Poset Geometries
β Scribed by Friedman, Joel
- Book ID
- 118177291
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1993
- Tongue
- English
- Weight
- 774 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0097-5397
- DOI
- 10.1137/0222007
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
It is shown that the dimension of a poset is the smallest cardinal number I such that there is an embedding of the poset into a strict product of I, linear orders.
In this note we use some simple counting arguments to show that an almost partial geometry is always symmetric.
An embeddable F 2 -geometry 1 with embedding rank er(1)=4 is given, which has no generating set of size 4. 2000 Academic Press ## 1. Introduction Let 1=(P, L) be a point-line geometry with points P and lines L ( P 3 ) (i.e., every line has three points). A subset S P is called a subgeometry of 1