✦ LIBER ✦

Generalized Rank Functions and an Entropy Argument

✍ Scribed by Jeff Kahn; Alexander Lawrenz

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 99 KB
Volume: 87
Category: Article
ISSN: 0097-3165
DOI: 10.1006/jcta.1999.2965

No coin nor oath required. For personal study only.

✦ Synopsis

A rank function is a function f : 2 [d] Ä N such that f (<)=0 and

Athanasiadis conjectured an upper bound on the number of rank functions on 2 [d] . We prove this conjecture and generalize it to functions with bounded jumps.

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