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Mappings on Finite Sets

m7-221 7 OCT 20181 PM

Abstract
 
Let YX be the ordered set of mappings from a finite set X into a finite totally ordered set Y. In this talk, several results characterizing YX are established. In particular the cardinalities of several collections of chains are determined. Several related and other well-known classical results are obtained as corollaries. Also some natural open questions are presented for further investigation.




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