Spherical containment and the Minkowski dimension of partial orders
โ Scribed by David A. Meyer
- Publisher
- Springer Netherlands
- Year
- 1993
- Tongue
- English
- Weight
- 698 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0167-8094
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
If P and Q are partial orders, then the dimension of the cartesian product P x Q does not exceed the sum of the dimensions of P and Q. There are several known sufficient conditions for this bound to be attained, on the other hand, the only known lower bound for the dimension of a cartesian product i
This paper introduces a new concept of dimension for partially ordered sets. Dushnik and Miller in 1941 introduced the concept of dimension of a partial order P, as the minimum cardinality of a realizer, (i.e., a set of linear extensions of P whose intersection is P). Every poser has a greedy realiz