Appalachian set theory: 2006-2012
by Cummings, James Schimmerling, Ernest
Papers based on a series of workshops where prominent researchers present exciting developments in set theory to a broad audience.
Read More ↓Title Statements
- Full title :Appalachian set theory : 2006-2012 / edited by James Cummings and Ernest Schimmerling.
Summary
Papers based on a series of workshops where prominent researchers present exciting developments in set theory to a broad audience.
Read More ↓Edition Statements
- Publication Date:2012.
Publication Statements
- Publisher(s):Cambridge University Press
- Place of Publication:Cambridge
- Language:eng
- Publication Date:2012.
The Physical Object
- Description:1 online resource
Edition Identifiers
- ISBN:9781139208574, 1139208578, 9781139840699, 113984069X
- oclc:ocn821869871
- LC Classification:QA9
- Dewey Decimal:511.3
Table of Contents
Cover; LONDON MATHEMATICAL SOCIETY LECTURE NOTE SERIES; Title; Copyright; Contents; Contributors; Introduction; 1 An introduction to Pmax forcing; 1 Introduction; 2 Setup: iterations and the definition of Pmax; 3 First properties of Pmax; 4 Existence of Pmax conditions; 5 S2 maximality; 6 Discussion; References; 2 Countable Borel Equivalence Relations; First lecture; 1.1 Standard Borel spaces and Borel equivalence relations; 1.2 Borel reducibility; 1.3 Countable Borel equivalence relations; 1.4 Turing equivalence and the Martin conjectures; Second lecture.
2.1 The fundamental question in the theory of countable Borel equivalence relations2.2 Essentially free countable Borel equivalence relations; 2.3 Bernoulli actions, Popa superrigidity, and the proof of Theorem 2.11; 2.4 Free and non-essentially free countable Borel equivalence relations; Third lecture; 3.1 Ergodicity, strong mixing and Borel cocycles; 3.2 Popa's Cocycle Superrigidity Theorem and the proof of Theorem 2.16; 3.3 Torsion-free abelian groups of finite rank; 3.4 E0-ergodicity; 3.5 The non-universality of the isomorphism relation for torsion-free abelian groups of finite rank.
Fourth lecture4.1 Containment vs. Borel…
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