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: Relational Topology
  name:
    name part: Schmidt, Gunther.
    role:
      role term: creator
    role:
      role term: author.
    role:
      role term: aut
    role:
      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: Winter, Michael.
    role:
      role term: author.
    role:
      role term: aut
    role:
      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2018
    edition: 1st ed. 2018.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XIV, 194 p. 104 illus., 68 illus. in color. online resource.
  abstract: This book introduces and develops new algebraic methods to work with relations, often conceived as Boolean matrices, and applies them to topology. Although these objects mirror the matrices that appear throughout mathematics, numerics, statistics, engineering, and elsewhere, the methods used to work with them are much less well known. In addition to their purely topological applications, the volume also details how the techniques may be successfully applied to spatial reasoning and to logics of computer science. Topologists will find several familiar concepts presented in a concise and algebraically manipulable form which is far more condensed than usual, but visualized via represented relations and thus readily graspable. This approach also offers the possibility of handling topological problems using proof assistants.
  table of contents: 1.Introduction -- 2. Prerequisites -- 3. Products of Relations -- 4. Meet and Join as Relations -- 5. Applying Relations in Topology -- 6. Construction of Topologies -- 7. Closures and their Aumann Contacts -- 8. Proximity and Nearness -- 9. Frames -- 10. Simplicial Complexes.
  note: by Gunther Schmidt, Michael Winter.
  subject:
    topic: Topology
  subject:
    topic: Mathematical logic
  subject:
    topic: Category theory (Mathematics)
  subject:
    topic: Homological algebra
  subject:
    topic: Algebra
  subject:
    topic: Computer science-Mathematics
  subject:
    topic: Computer mathematics
  subject:
    topic: Discrete mathematics
  subject:
    topic: Topology
  subject:
    topic: Mathematical Logic and Foundations
  subject:
    topic: Category Theory, Homological Algebra
  subject:
    topic: General Algebraic Systems
  subject:
    topic: Mathematical Applications in Computer Science
  subject:
    topic: Discrete Mathematics
  classification: QA611-614.97
  classification: 514
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Lecture Notes in Mathematics, 2208
  identifier: 9783319744513
  identifier: https://doi.org/10.1007/978-3-319-74451-3
  record info:
    record creation date: 180531
    record change date: 20191025121759.0
    record identifier: 978-3-319-74451-3