Facing up to arrangements : face-count formulas for partitions of space by hyperplanes /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Zaslavsky, Thomas
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence : American Mathematical Society, 1975.
Colección:Memoirs of the American Mathematical Society ; no. 154.
Temas:
Combinatorial geometry.
Combinatorial enumeration problems.
Lattice theory.
Géométrie combinatoire.
Problèmes combinatoires d'énumération.
Théorie des treillis.
Combinatorial enumeration problems
Combinatorial geometry
Lattice theory
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Introduction to arrangements
  • Part I. How to count the faces of an arrangement of hyperplanes
  • First facts about arrangements
  • The main theorems
  • Quick proofs (Eulerian method)
  • The long proofs (Tutte-Grothendieck method)
  • A collocation of corollaries
  • Points and zonotopes Part II. A study of Euclidean arrangements with particular reference to bounded faces
  • The beta theorem
  • The central decomposition
  • 9. The dimension of the bounded space.

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