Geodesic
A Logarithmic Property for Exponents of Partially Ordered Sets
Canadian journal of mathematics, Tome 30 (1978) no. 4, pp. 797-807

Voir la notice de l'article provenant de la source Cambridge University Press

In an effort to unify the arithmetic of cardinal and ordinal numbers, Garrett Birkhoff [2; 3; 4; 5] (cf. [6]) defined several operations on partially ordered sets of which at least one, (cardinal) exponentiation, is of considerable independent interest: for partially ordered sets P and Q let PQ denote the set of all order-preserving maps of Q to P partially ordered by f ≦ g if and only if f(x)≦ g(x) for each x ∈ Q. 
Duffus, Dwight; Rival, Ivan. A Logarithmic Property for Exponents of Partially Ordered Sets. Canadian journal of mathematics, Tome 30 (1978) no. 4, pp. 797-807. doi: 10.4153/CJM-1978-068-x
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