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Appalachian set theory : 2006-2012 /
Papers based on a series of workshops where prominent researchers present exciting developments in set theory to a broad audience.
| Clasificación: | Libro Electrónico |
|---|---|
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge :
Cambridge University Press,
2012.
|
| Colección: | London Mathematical Society lecture note series ;
406. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 245 | 0 | 0 | |a Appalachian set theory : |b 2006-2012 / |c edited by James Cummings and Ernest Schimmerling. |
| 260 | |a Cambridge : |b Cambridge University Press, |c 2012. | ||
| 300 | |a 1 online resource | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a London Mathematical Society lecture note series ; |v 406 | |
| 588 | 0 | |a Print version record. | |
| 520 | |a Papers based on a series of workshops where prominent researchers present exciting developments in set theory to a broad audience. | ||
| 504 | |a Includes bibliographical references. | ||
| 505 | 0 | |a 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. | |
| 505 | 8 | |a 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. | |
| 505 | 8 | |a Fourth lecture4.1 Containment vs. Borel reducibility; 4.2 Unique ergodicity and ergodic components; 4.3 The proof of Theorem 4.5; 4.4 Profinite actions and Ioana superrigidity; Open problems; 5.1 Hyperfinite relations.; 5.2 Treeable relations.; 5.3 Universal relations.; References; 3 Set theory and operator algebras; Acknowledgments; 1 Introduction; 1.1 Nonseparable C*-algebras; 1.2 Ultrapowers; 1.3 Structure of corona algebras; 1.4 Classification and descriptive set theory; 2 Hilbert spaces and operators; 2.1 Normal operators and the spectral theorem; 2.2 The spectrum of an operator. | |
| 505 | 8 | |a 3 C*-algebrasTypes of operators in C*-algebras; 3.1 Some examples of C*-algebras; Full matrix algebras; The algebra of compact operators; The Calkin algebra; 3.2 Automatic continuity and the Gelfand transform; 3.3 Continuous functional calculus; 3.4 More examples of C*-algebras; Direct limits; UHF (uniformly hyperfinite) algebras; AF (approximately finite) algebras; Even more examples; 4 Positivity, states and the GNS construction; 4.1 Irreducible representations and pure states; 4.2 On the existence of states; 5 Projections in the Calkin algebra; Stone duality. | |
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Logic, Symbolic and mathematical. | |
| 650 | 6 | |a Logique symbolique et mathématique. | |
| 650 | 7 | |a MATHEMATICS |x General. |2 bisacsh | |
| 650 | 7 | |a Lógica matemática |2 embne | |
| 650 | 7 | |a Logic, Symbolic and mathematical |2 fast | |
| 700 | 1 | |a Cummings, James. | |
| 700 | 1 | |a Schimmerling, Ernest. | |
| 776 | 0 | 8 | |i Print version: |t Appalachian set theory. |d [S.l.] : Cambridge University Pres, 2012 |z 1107608503 |w (OCoLC)818143101 |
| 830 | 0 | |a London Mathematical Society lecture note series ; |v 406. | |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=498398 |z Texto completo |
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