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: Manifolds, Sheaves, and Cohomology
  name:
    name part: Wedhorn, Torsten.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2016
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XVI, 354 p. 9 illus. online resource.
  abstract: This book explains techniques that are essential in almost all branches of modern geometry such as algebraic geometry, complex geometry, or non-archimedian geometry. It uses the most accessible case, real and complex manifolds, as a model. The author especially emphasizes the difference between local and global questions. Cohomology theory of sheaves is introduced and its usage is illustrated by many examples. Content Topological Preliminaries - Algebraic Topological Preliminaries - Sheaves - Manifolds - Local Theory of Manifolds - Lie Groups - Torsors and Non-abelian Cech Cohomology - Bundles - Soft Sheaves - Cohomology of Complexes of Sheaves - Cohomology of Sheaves of Locally Constant Functions - Appendix: Basic Topology, The Language of Categories, Basic Algebra, Homological Algebra, Local Analysis Readership Graduate Students in Mathematics / Master of Science in Mathematics About the Author Prof. Dr. Torsten Wedhorn, Department of Mathematics, Technische Universität Darmstadt, Germany.
  table of contents: Topological Preliminaries -- Algebraic Topological Preliminaries -- Sheaves -- Manifolds -- Local Theory of Manifolds -- Lie Groups -- Torsors and Non-abelian Cech Cohomology -- Bundles -- Soft Sheaves -- Cohomology of Complexes of Sheaves -- Cohomology of Sheaves of Locally Constant Functions -- Appendix: Basic Topology, The Language of Categories, Basic Algebra, Homological Algebra, Local Analysis.
  note: by Torsten Wedhorn.
  subject:
    topic: Mathematics
  subject:
    topic: Category theory (Mathematics)
  subject:
    topic: Homological algebra
  subject:
    topic: Topological groups
  subject:
    topic: Lie groups
  subject:
    topic: Global analysis (Mathematics)
  subject:
    topic: Manifolds (Mathematics)
  subject:
    topic: Differential geometry
  subject:
    topic: Mathematics
  subject:
    topic: Category Theory, Homological Algebra
  subject:
    topic: Topological Groups, Lie Groups
  subject:
    topic: Differential Geometry
  subject:
    topic: Global Analysis and Analysis on Manifolds
  classification: QA169
  classification: 512.6
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Springer Studium Mathematik - Master
  identifier: 9783658106331
  identifier: http://dx.doi.org/10.1007/978-3-658-10633-1
  record info:
    record creation date: 160725
    record change date: 20160725214628.0
    record identifier: 978-3-658-10633-1