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Ordered Sets

The textbook literature on ordered sets is still rather limited. A lot of material is presented in this book that appears now for the first time in a textbook. Order theory works with combinatorial and set-theoretical methods, depending on whether the sets under consideration are finite or infinite....

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Harzheim, Egbert (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer US : Imprint: Springer, 2005.
Edición:1st ed. 2005.
Colección:Advances in Mathematics ; 7
Temas:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Fundamental notions of set theory
  • Fundamental notions
  • General relations between posets and their chains and antichains
  • Linearly ordered sets
  • Products of orders
  • Universally ordered sets
  • Applications of the splitting method
  • The dimension of posets
  • Well-founded posets, pwo-sets and trees
  • On the order structure of power sets
  • Comparison of order types
  • Comparability graphs.