Description

Book Synopsis
Introduces a new research direction in set theory: the study of models of set theory with respect to their extensional overlap or disagreement. The book considers a broad spectrum of objects from analysis, algebra, and combinatorics. The topic is nearly inexhaustible in its variety, and many directions invite further investigation.

Table of Contents
  • Introduction.
  • Equivalence relations: The virtual realm.
  • Turbulence.
  • Nested sequences of models.
  • Balanced extensions of the Solovay model: Balanced Suslin forcing.
  • Simplicial complex forcings.
  • Ultrafilter forcings.
  • Other forcings.
  • Preserving cardinalities.
  • Uniformization.
  • Locally countable structures.
  • The Silver divide.
  • The arity divide.
  • Other combinatorics.
  • Bibliography.
  • Index.

Geometric Set Theory

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    £115.60

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    RRP £136.00 – you save £20.40 (15%)

    Order before 4pm today for delivery by Thu 6 Aug 2026.

    A Paperback / softback by Paul B. Larson, Jindrich Zapletal

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      Publisher: American Mathematical Society
      Publication Date: Publication Date: 30/09/2020
      ISBN13: 9781470454623, 978-1470454623
      ISBN10: 1470454629
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      Not Just Books Stationery

      Description

      Book Synopsis
      Introduces a new research direction in set theory: the study of models of set theory with respect to their extensional overlap or disagreement. The book considers a broad spectrum of objects from analysis, algebra, and combinatorics. The topic is nearly inexhaustible in its variety, and many directions invite further investigation.

      Table of Contents
      • Introduction.
      • Equivalence relations: The virtual realm.
      • Turbulence.
      • Nested sequences of models.
      • Balanced extensions of the Solovay model: Balanced Suslin forcing.
      • Simplicial complex forcings.
      • Ultrafilter forcings.
      • Other forcings.
      • Preserving cardinalities.
      • Uniformization.
      • Locally countable structures.
      • The Silver divide.
      • The arity divide.
      • Other combinatorics.
      • Bibliography.
      • Index.

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