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Generic power convergence of order-preserving mappings

โœ Scribed by Simeon Reich; Alexander Rubinov; Alexander J. Zaslavski


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
516 KB
Volume
40
Category
Article
ISSN
0362-546X

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Three results are obtained concerning the number of order preserving maps of an n-element partially ordered set to itself. We show that any such ordered set has at least 2'"" order preserving maps (and 2" in the case of length one). Precise asymptotic estimates for the numbers of self-maps of crowns