Geodesic
Structure Results for Function Lattices
Canadian journal of mathematics, Tome 30 (1978) no. 2, pp. 392-400

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

For partially ordered sets X and F let Yx denote the set of all order-preserving maps of X to Y partially ordered by f ≦ g if and only if f(x)≦ g (x) for each x ∈ X [1; 4; 6]. If X is unordered then Yx is the usual direct product of partially ordered sets, while if both X and Y are finite unordered sets then Yx is the commonplace exponent of cardinal numbers. This generalized exponentiation has an important vindication especially for those partially ordered sets that are lattices. 
Duffus, D.; Jónsson, B.; Rival, I. Structure Results for Function Lattices. Canadian journal of mathematics, Tome 30 (1978) no. 2, pp. 392-400. doi: 10.4153/CJM-1978-034-1
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