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
    sub title: Centre de Recerca Matemàtica Barcelona, 2003–2004
  name:
    name part: Bagaria, Joan.
    role:
      role term: editor.
  name:
    name part: Todorcevic, Stevo.
    role:
      role term: editor.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: sz
    date issued: 2006
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: VII, 406 p. online resource.
  abstract: This volume has its origins in the Research Programme on Set Theory and its Applications that took place at the Centre de Recerca Matemática (CRM) Barcelona from September 2003 to July 2004. It consists of two parts. The first contains survey papers on some of the mainstream areas of set theory, and the second contains original research papers. The survey papers cover topics as Omega-logic, applications of set theory to lattice theory and Boolean algebras, real-valued measurable cardinals, complexity of sets and relations in continuum theory, weak subsystems of axiomatic set theory, definable versions of large cardinals, and selection theory for open covers of topological spaces. As for the research papers, they range from topics such as the number of near-coherence classes of ultrafilters, the consistency strength of bounded forcing axioms, P_\kappa\lambda combinatorics, some applications of morasses, subgroups of Abelian Polish groups, adding club subsets of \omega_2 with finite conditions, the consistency strength of mutual stationarity, and new axioms of set theory.
  table of contents: Survey Papers -- An ?-logic Primer -- Upper Semi-lattice Algebras and Combinatorics -- Small Definably-large Cardinals -- Real-valued Measurable Cardinals and Well-orderings of the Reals -- Complexity of Sets and Binary Relations in Continuum Theory: A Survey -- Weak Systems of Gandy, Jensen and Devlin -- Some New Directions in Infinite-combinatorial Topology -- Research Papers -- The Number of Near-Coherence Classes of Ultrafilters is Either Finite or -- Stable Axioms of Set Theory -- Forcing with Finite Conditions -- Subgroups of Abelian Polish Groups -- On the Strength of Mutual Stationarity -- Part(?, ?) and Part*(?, ?) -- Local Connectedness and Distance Functions -- Bounded Martin’s Maximum and Strong Cardinals.
  note: edited by Joan Bagaria, Stevo Todorcevic.
  subject:
    topic: Mathematics
  subject:
    topic: Algebra
  subject:
    topic: Ordered algebraic structures
  subject:
    topic: Mathematical logic
  subject:
    topic: Combinatorics
  subject:
    topic: Mathematics
  subject:
    topic: Mathematical Logic and Foundations
  subject:
    topic: Order, Lattices, Ordered Algebraic Structures
  subject:
    topic: Combinatorics
  classification: QA8.9-10.3
  classification: 511.3
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Trends in Mathematics
  identifier: 9783764376925
  identifier: http://dx.doi.org/10.1007/3-7643-7692-9
  record info:
    record creation date: 100301
    record change date: 20151204164403.0
    record identifier: 978-3-7643-7692-5