Boolean Representations of Simplicial Complexes and Matroids

This self-contained monograph explores a new theory centered around boolean representations of simplicial complexes leading to a new class of complexes featuring matroids as central to the theory. The book illustrates these new tools to study the classical theory of matroids as well as their importa...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Rhodes, John (Autor), Silva, Pedro V. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2015.
Edición:1st ed. 2015.
Colección:Springer Monographs in Mathematics,
Temas:
Algebra.
Associative rings.
Associative algebras.
Algebraic topology.
Algebraic geometry.
Algebras, Linear.
Discrete mathematics.
Order, Lattices, Ordered Algebraic Structures.
Associative Rings and Algebras.
Algebraic Topology.
Algebraic Geometry.
Linear Algebra.
Discrete Mathematics.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 1. Introduction
  • 2. Boolean and superboolean matrices
  • 3. Posets and lattices
  • 4. Simplicial complexes
  • 5. Boolean representations
  • 6. Paving simplicial complexes
  • 7. Shellability and homotopy type
  • 8. Operations on simplicial complexes
  • 9. Open questions.

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