Invariant Descriptive Set TheoryCRC Press, 3 сент. 2008 г. - Всего страниц: 392 Presents Results from a Very Active Area of ResearchExploring an active area of mathematics that studies the complexity of equivalence relations and classification problems, Invariant Descriptive Set Theory presents an introduction to the basic concepts, methods, and results of this theory. It brings together techniques from various areas of mathem |
Содержание
Theory of Equivalence Relations | 115 |
Countable Model Theory | 245 |
Applications to Classification Problems | 321 |
Proofs about the GandyHarrington Topology | 355 |
References | 361 |
| 373 | |
Другие издания - Просмотреть все
Часто встречающиеся слова и выражения
action of G assume Baire property Baire space bijection bireducible Borel equivalence relation Borel function Borel isomorphism Borel reducible Borel set Borel structure Borel subset canonical classification problems closed subgroup comeager set compact Polish complete metric computable continuous Corollary countable base countable Borel equivalence countable group countable relational language define Definition denote descriptive set theory E-equivalence elements equivalence classes ergodic Exercise finite G-orbit G-space Gandy-Harrington topology group actions hence homeomorphism hyperfinite induction invariant Borel class invariant descriptive set isometric isomorphism relation Kechris left-invariant metric Lemma Let G lh(s linear order meager Mod(L nonempty open nonmeager Note open sets orbit equivalence relation Player Polish metric spaces Polish space Polish topology Proof Proposition reduction sequence Show standard Borel space strong Choquet Suppose topological group tree Urysohn w₁ winning strategy ω₁