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: Introduction to cardinal arithmetic
  name:
    name part: Holz, Michael
    name part: 1945-
    role:
      role term: creator
  name:
    name part: Steffens, Karsten.
  name:
    name part: Weitz, E.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: Electronic books.
  origin info:
    place:
      place term: ne
    date issued: 1999
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (308 pages)
  abstract: This book is an introduction into modern cardinal arithmetic in the frame of the axioms of Zermelo-Fraenkel set theory together with the axiom of choice (ZFC). A first part describes the classical theory developed by Bernstein, Cantor, Hausdorff, König and Tarski between 1870 and 1930. Next, the development in the 1970s led by Galvin, Hajnal and Silver is characterized. The third part presents the fundamental investigations in pcf theory which have been worked out by Shelah to answer the questions left open in the 1970s.
  table of contents: Foundations -- The Galvin-Hajnal theorem -- Ordinal functions -- Approximation sequences -- Generators of T<[lambda]+(a) -- The supremum of pcf[mu](a) -- Local properties -- Applications of pcf-theory -- The cardinal function pp([lambda]).
  note: M. Holz, K. Steffens, E. Witz.
  note: Electronic resource.
  subject:
    topic: Cardinal numbers
  subject:
    topic: Cardinal numbers
  classification: QA248
  classification: 511.322
  related item:
    title info:
      title: Introduction to Cardinal Arithmetic
    name:
      name part: Holz, Michael.
    origin info:
      publisher: Dordrecht : Springer, ©1999
  related item:
    title info:
      title: Modern Birkhäuser classics
  identifier: 9783034603300 (electronic bk.)
  identifier: 3034603304 (electronic bk.)
  identifier: 9783034603270
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: EBLCP
    record creation date: 130706
    record change date: 20260422200348.2
    record identifier: in00003571897
    language of cataloging:
      language term: eng