𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Strong properties in partially ordered sets I

✍ Scribed by Konrad Engel

Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
487 KB
Volume
47
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.

✦ Synopsis

Let P be a ranked partially ordered set. An h-family is a subset of P such that no h + 1 elements of the family lie on any single chain. P has the strong h-family property, if each maximal h-family in P is the union of h complete levels. Sufficient conditions for the strong h-family property are given.

πŸ“œ SIMILAR VOLUMES

Strong properties in partially ordered s
Strong properties in partially ordered sets II
✍ Konrad Engel πŸ“‚ Article πŸ“… 1984 πŸ› Elsevier Science 🌐 English βš– 370 KB

An [a,/3)-normal poset with (a,/3)-logarithmic concave Whitney numbers is a normal poset with logarithmic concave Whitney numbers, with the additional condition that, without mentioning trivial cases, in the definitional inequalities for normality and logarithmic concavity equality can only hold in