Canonical ordering theorems, a first attempt
Caractérisation du type d'ordre des barrières de Nash-Williams
Characterization of all order relations in direct sums of ordered groups.
Characterizations of totally ordered sets by their various endomorphisms
We characterize totally ordered sets within the class of all ordered sets containing at least three-element chains using a simple relationship between their isotone transformations and the so called 2-, 3-, 4-endomorphisms which are introduced in the paper. Another characterization of totally ordered sets within the class of ordered sets of a locally finite height with at least four-element chains in terms of the regular semigroup theory is also given.
Coefficients d'accord entre deux préordres totaux
Coefficients d'accord entre deux préordres totaux. Comparaison ordinale des coefficients
Cofinalities of doubly transitive sets.
Congruence lattices of finite chains with endomorphisms
Characterization of congruence lattices of finite chains with either one or two endomorphisms is given.
Continu expérimental et continu mathématique
Countable 1-transitive coloured linear orderings II
This paper gives a structure theorem for the class of countable 1-transitive coloured linear orderings for a countably infinite colour set, concluding the work begun in [1]. There we gave a complete classification of these orders for finite colour sets, of which there are ℵ₁. For infinite colour sets, the details are considerably more complicated, but many features from [1] occur here too, in more marked form, principally the use (now essential it seems) of coding trees, as a means of describing...
Counterexamples to the Neggers-Stanley conjecture.
Cuts in cyclically ordered sets