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: Set theory
  name:
    name part: Jech, Thomas J.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: gw
    date issued: 2003
    edition: The Third Millennium Edition, revised and expanded.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (xiii, 769 pages)
  abstract: Set Theory has experienced a rapid development in recent years, with major advances in forcing, inner models, large cardinals and descriptive set theory. The present book covers each of these areas, giving the reader an understanding of the ideas involved. It can be used for introductory students and is broad and deep enough to bring the reader near the boundaries of current research. Students and researchers in the field will find the book invaluable both as a study material and as a desktop reference.
  table of contents: I. Basic Set Theory -- Axioms of Set Theory -- Ordinal Numbers -- Cardinal Numbers -- Real Numbers -- The Axiom of Choice and Cardinal Arithmetic -- The Axiom of Regularity -- Filters, Ultrafilters and Boolean Algebras -- Stationary Sets -- Combinatorial Set Theory -- Measurable Cardinals -- Borel and Analytic Sets -- Models of Set Theory -- II. Advanced Set Theory -- Constructible Sets -- Forcing -- Applications of Forcing -- Iterated Forcing and Martin's Axiom -- Large Cardinals -- Large Cardinals and L -- Iterated Ultrapowers and LU -- Very Large Cardinals -- Large Cardinals and Forcing -- Saturated Ideals -- The Nonstationary Ideal -- The Singular Cardinal Problem -- Descriptive Set Theory -- The Real Line -- III. Selected Topics -- Combinatorial Principles in L -- More Applications of Forcing -- More Combinatorial Set Theory -- Complete Boolean Algebras -- Proper Forcing -- More Descriptive Set Theory -- Determinacy -- Supercompact Cardinals and the Real Line -- Inner Models for Large Cadinals -- Forcing and Large Cardinals -- Martin's Maximum -- More on Stationary Sets -- Bibliography -- Notation -- Index -- Name Index.
  note: Thomas Jech.
  note: Text in English.
  note: Includes bibliographical references (pages 707-732) and indexes.
  subject:
    topic: Set theory
  subject:
    topic: Mathematics
  subject:
    topic: Set theory
  subject:
    topic: Théorie des ensembles
  classification: QA248 .J42 2003eb
  classification: 511.3/22
  related item:
    title info:
      title: Set theory
    name:
      name part: Jech, Thomas J.
    origin info:
      publisher: Berlin ; New York : Springer, ©2003
      edition: The 3rd millennium ed., rev. and expanded.
    identifier: (DLC) 2002030443
  related item:
    title info:
      title: Springer monographs in mathematics
  identifier: 354044761X (electronic bk.)
  identifier: 9783540447610 (electronic bk.)
  identifier: 3540440852
  identifier: 9783540440857
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: UAB
    record creation date: 020812
    record change date: 20260420200705.1
    record identifier: in00003511335
    language of cataloging:
      language term: eng