Invariant descriptive set theory /
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| Format: | eBook |
| Language: | English |
| Published: |
Boca Raton, Fla. :
Chapman and Hall/CRC,
©2009.
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| Series: | Monographs and textbooks in pure and applied mathematics ;
293. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- Borel Equivalence Relations Hypersmooth equivalence relations Borel orbit equivalence relations A jump operator for Borel equivalence relations Examples of F and sigma; equivalence relations Examples of and pi; 0/3 equivalence relations Analytic Equivalence Relations The Burgess trichotomy theorem Definable reductions among analytic equivalence relations Actions of standard Borel groups Wild Polish groups The topological Vaught conjecture Turbulent Actions of Polish Groups Homomorphisms and generic ergodicity Local orbits of Polish group actions Turbulent and generically turbulent actions The Hjorth turbulence theorem Examples of turbulence Orbit equivalence relations and E 1 Countable Model Theory Polish Topologies of.
- Infinitary Logic A review of first-order logic Model theory of infinitary logic Invariant Borel classes of countable models Polish topologies generated by countable fragments Atomic models and G and delta; -orbits The Scott Analysis Elements of the Scott analysis Borel approximations of isomorphism relations The Scott rank and computable ordinals A topological variation of the Scott analysis Sharp analysis of S and infin; -orbits Natural Classes of Countable Models Countable graphs Countable trees Countable linear orderings Countable groups Applications to Classification Problems Classification by Example: Polish Metric Spaces Standard Borel structures on hyperspaces Classification versus nonclassification Measurement of complexity.