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International Conference on Ordered Algebraic Structures and Related Areas
July 6-10, 1998
Nanjing University
Nanjing, China

Organizers
W.C.Holland, P.Conrad, K.Denecke, M.Giraudet, A.C.Kim, V.Kopytov, N.Y.Medvedev, I.Rival, K.P.Shum, Dao-Rong Ton, C.Tsinakis, Minxie Jiang, Kaiyao He

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On cancelling exponents of Posets
by
Kevin Blount
Vanderbilt University
Coauthors: Ralph McKenzie

Let P and Q be ordered sets. Define QP to be the poset of order-preserving maps from P to Q, ordered pointwise. In 1942, Garrett Birkhoff conjectured the following: If P, Q and R are finite, non-empty posets such that QPis isomorphic to R^P, then Q is isomorphic to R

Date received: May 8, 1998

Copyright © 1998 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caba-14.