Description

Book Synopsis
An expository account of work on strong forms of the Axiom of Determinacy (AD) by a group of set theorists in Southern California, particularly W. Hugh Woodin, aimed at readers with a background in basic set theory. The book's first half reviews necessary background material, the second introduces Woodin's axiom system and presents his analysis.

Table of Contents
  • Preliminaries: Determinacy
  • The Wadge hierarchy
  • Coding lemmas
  • Properties of pointclasses
  • Strong partition cardinals
  • Suslin sets and uniformization
  • $\mathsf{AD}^+$: Ordinal determinacy
  • Infinity-Borel sets
  • Cone measure ultraproducts
  • Vopenka algebras
  • Suslin sets and strong codes
  • Scales from uniformization
  • Real determinacy from scales
  • Questions
  • Bibliography
  • Index

Extensions of the Axiom of Determinacy

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    Order before 4pm today for delivery by Fri 26 Jun 2026.

    A Paperback by Paul B. Larson

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      View other formats and editions of Extensions of the Axiom of Determinacy by Paul B. Larson

      Publisher: MP-AMM American Mathematical
      Publication Date: 12/31/2023 12:00:00 AM
      ISBN13: 9781470472108, 978-1470472108
      ISBN10: 1470472104

      Description

      Book Synopsis
      An expository account of work on strong forms of the Axiom of Determinacy (AD) by a group of set theorists in Southern California, particularly W. Hugh Woodin, aimed at readers with a background in basic set theory. The book's first half reviews necessary background material, the second introduces Woodin's axiom system and presents his analysis.

      Table of Contents
      • Preliminaries: Determinacy
      • The Wadge hierarchy
      • Coding lemmas
      • Properties of pointclasses
      • Strong partition cardinals
      • Suslin sets and uniformization
      • $\mathsf{AD}^+$: Ordinal determinacy
      • Infinity-Borel sets
      • Cone measure ultraproducts
      • Vopenka algebras
      • Suslin sets and strong codes
      • Scales from uniformization
      • Real determinacy from scales
      • Questions
      • Bibliography
      • Index

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