Orders--description And Roles: In Set Theory, Lattices, Ordered Groups, Topology, Theory Of Models And Relations, Combinatorics, Effectiveness, Social Sciences : Proceedings Of The Conference On Ordered Sets And Their Applications, Château De La Tourette,

Orders: Description and Roles Copyright Page Table of Contents Preface Préface Concerning the Conference on Ordered Sets and their Applications Retour a la Conférence sur les Ensembles Ordonnes et leurs Applications List of Participants (Liste de Participants) Conference Programme (Programme Scientifique) Short Communications (Programme des Communications) PART I: ORDER AND SOME SET-THEORETICAL INVARIANTS Chapter 1. Recent results on the cofinality of ordered sets Chapter 2. Cardinal functions on boolean algebras PART II: ORDER AND LATTICES Chapter 3. Ordered sets and duality for distributive lattices Chapter 4. When are order scattered and topologically scattered the same? Chapter 5. Representing ordered sets by chains Chapter 6. Orthomodular lattices Chapter 7. The construction of some free m-lattices on posets Chapter 8. Compatible orderings and tolerances of lattices PART III: ORDER AND ORDERED GROUPS Chapter 9. Classification of lattice ordered groups Chapter 10. The isomorphism problem and undecidable properties for finitely presented lattice-ordered groups PART IV: ORDER AND TOPOLOGY Chapter 11. On topological properties of Cartesian products of linearly ordered continua Chapter 12. Order aspects of the essential hull of a topological To -space PART V: ORDER AND THEORY OF MODELS AND RELATIONS Chapter 13. Models built on linear orderings Chapter 14. Relations enchainables, rangements et pseudo-rangements Chapter 15. No-categorical partially ordered set Chapter 16. The arithmetics as theories of two orders Chapter 17. L’intervalle en théorie des relations; ses généralisations; filtre intervallaire et clóture d’une relation PART VI: ORDER AND CHAIN CONDITION ON CLASSES OF STRUCTURES Chapter 18. Some new results on the well-quasi ordering of graphs PART VII: ORDER AND COMBINATORICS Chapter 19. Linear extensions of finite ordered sets Chapter 20. Comparability invariants Chapter 21. Codages et dimensions de relations binaries Chapter 22. The Sperner property Chapter 23. Chain and antichain families, grids and young tableaux PART VIII: ORDER AND EFFECTIVENESS Chapter 24. Recursive linear orderings Chapter 25. About ordered sets in algebraic semantics Chapter 26. Two open problems in precedence constrained scheduling PART IX: ORDER AND SOCIAL SCIENCES Chapter 27. Ensembles ordonnés et taxonomie mathématique Annals of Discrete Mathematics