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
โฆ LIBER โฆ
A class of partially ordered sets: II
โ Scribed by Geoffrey Hemion
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 883 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0960-0779
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โฆ Synopsis
In a previous paper, a certain class of discrete partially ordered sets was defined and a number of general properties of the sets was described. It was claimed that a kind of pre-geometry might be established on the basis of these definitions. To support this idea, it was asserted that a probability theory for this class of sets would provide more explicit geometrical structures. The purpose of the present paper is to describe such a probability theory.
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