Sandwiches of ages

Annals of Pure and Applied Logic 108 (1-3):295-326 (2001)


The age of a relational structure R is the set A of finite restrictions of R considered up to isomorphism. R. Fraı̈ssé, who introduced this notion, showed that ages coincide with nonempty ideals of the poset consisting of finite relational structures, considered up to isomorphism and ordered by embeddability. Here, given two ages A ⊆ B , we study the poset D consisting of ages C in sandwich between A and B . Among other things we show that if D is infinite then it contains an infinite chain

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References found in this work

Application de la Notion de Relation Presque-Enchainable au Denombrement des Restrictions Finies D'une Relation.Maurice Pouzet - 1981 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 27 (19-21):289-332.
Relation Minimale Pour Son??Ge.Maurice Pouzet - 1979 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 25 (19-24):315-344.
Infinite Projection Properties.Christian Delhommé - 1998 - Mathematical Logic Quarterly 44 (4):481-492.
Relation Minimale Pour Son Ǎge.Maurice Pouzet - 1979 - Mathematical Logic Quarterly 25 (19‐24):315-344.

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