rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Boolean Representations of Simplicial Complexes and Matroids
  name:
    name part: Rhodes, John.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Silva, Pedro V.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2015
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: X, 173 p. 36 illus. online resource.
  abstract: 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 important geometric connections. Moreover, many geometric and topological features of the theory of matroids find their counterparts in this extended context. Graduate students and researchers working in the areas of combinatorics, geometry, topology, algebra and lattice theory will find this monograph appealing due to the wide range of new problems raised by the theory. Combinatorialists will find this extension of the theory of matroids useful as it opens new lines of research within and beyond matroids. The geometric features and geometric/topological applications will appeal to geometers. Topologists who desire to perform algebraic topology computations will appreciate the algorithmic potential of boolean representable complexes.
  table of contents: 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.
  note: by John Rhodes, Pedro V. Silva.
  subject:
    topic: Mathematics
  subject:
    topic: Algebraic geometry
  subject:
    topic: Associative rings
  subject:
    topic: Rings (Algebra)
  subject:
    topic: Matrix theory
  subject:
    topic: Algebra
  subject:
    topic: Ordered algebraic structures
  subject:
    topic: Algebraic topology
  subject:
    topic: Combinatorics
  subject:
    topic: Mathematics
  subject:
    topic: Order, Lattices, Ordered Algebraic Structures
  subject:
    topic: Associative Rings and Algebras
  subject:
    topic: Algebraic Topology
  subject:
    topic: Algebraic Geometry
  subject:
    topic: Linear and Multilinear Algebras, Matrix Theory
  subject:
    topic: Combinatorics
  classification: QA172-172.4
  classification: QA171.5
  classification: 511.33
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Springer Monographs in Mathematics
  identifier: 9783319151144
  identifier: http://dx.doi.org/10.1007/978-3-319-15114-4
  record info:
    record creation date: 150226
    record change date: 20151103123535.0
    record identifier: 978-3-319-15114-4