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.
Gespeichert in:
| Weitere Verfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge :
Cambridge University Press,
2012.
|
| Schriftenreihe: | London Mathematical Society lecture note series ;
406. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | Papers based on a series of workshops where prominent researchers present exciting developments in set theory to a broad audience. |
| Beschreibung: | 1 online resource |
| Bibliographie: | Includes bibliographical references. |
| ISBN: | 9781139208574 1139208578 9781139840699 113984069X |
Internformat
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. | ||
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| 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. | |
| 650 | 0 | |a Logic, Symbolic and mathematical. |0 http://id.loc.gov/authorities/subjects/sh85078115 | |
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| 700 | 1 | |a Cummings, James. | |
| 700 | 1 | |a Schimmerling, Ernest. | |
| 758 | |i has work: |a Appalachian set theory (Text) |1 https://id.oclc.org/worldcat/entity/E39PCFwfbDDPbhRJkHhhbyWdQq |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
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| _version_ | 1816882216985165824 |
| adam_text | |
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| author2 | Cummings, James Schimmerling, Ernest |
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| author_facet | Cummings, James Schimmerling, Ernest |
| author_sort | Cummings, James |
| building | Verbundindex |
| bvnumber | localFWS |
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| callnumber-label | QA9 |
| callnumber-raw | QA9 .A66 2012 |
| callnumber-search | QA9 .A66 2012 |
| callnumber-sort | QA 19 A66 42012 |
| callnumber-subject | QA - Mathematics |
| collection | ZDB-4-EBA |
| 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 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. 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. |
| ctrlnum | (OCoLC)821869871 |
| dewey-full | 511.3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.3 |
| dewey-search | 511.3 |
| dewey-sort | 3511.3 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | ZDB-4-EBA-ocn821869871 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:25:06Z |
| institution | BVB |
| isbn | 9781139208574 1139208578 9781139840699 113984069X |
| language | English |
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| series | London Mathematical Society lecture note series ; |
| series2 | London Mathematical Society lecture note series ; |
| spelling | Appalachian set theory : 2006-2012 / edited by James Cummings and Ernest Schimmerling. Cambridge : Cambridge University Press, 2012. 1 online resource text txt rdacontent computer c rdamedia online resource cr rdacarrier London Mathematical Society lecture note series ; 406 Print version record. Papers based on a series of workshops where prominent researchers present exciting developments in set theory to a broad audience. Includes bibliographical references. 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 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. 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. Logic, Symbolic and mathematical. http://id.loc.gov/authorities/subjects/sh85078115 Logique symbolique et mathématique. MATHEMATICS General. bisacsh Lógica matemática embne Logic, Symbolic and mathematical fast Cummings, James. Schimmerling, Ernest. has work: Appalachian set theory (Text) https://id.oclc.org/worldcat/entity/E39PCFwfbDDPbhRJkHhhbyWdQq https://id.oclc.org/worldcat/ontology/hasWork Print version: Appalachian set theory. [S.l.] : Cambridge University Pres, 2012 1107608503 (OCoLC)818143101 London Mathematical Society lecture note series ; 406. http://id.loc.gov/authorities/names/n42015587 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=498398 Volltext |
| spellingShingle | Appalachian set theory : 2006-2012 / London Mathematical Society lecture note series ; 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 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. 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. Logic, Symbolic and mathematical. http://id.loc.gov/authorities/subjects/sh85078115 Logique symbolique et mathématique. MATHEMATICS General. bisacsh Lógica matemática embne Logic, Symbolic and mathematical fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85078115 |
| title | Appalachian set theory : 2006-2012 / |
| title_auth | Appalachian set theory : 2006-2012 / |
| title_exact_search | Appalachian set theory : 2006-2012 / |
| title_full | Appalachian set theory : 2006-2012 / edited by James Cummings and Ernest Schimmerling. |
| title_fullStr | Appalachian set theory : 2006-2012 / edited by James Cummings and Ernest Schimmerling. |
| title_full_unstemmed | Appalachian set theory : 2006-2012 / edited by James Cummings and Ernest Schimmerling. |
| title_short | Appalachian set theory : |
| title_sort | appalachian set theory 2006 2012 |
| title_sub | 2006-2012 / |
| topic | Logic, Symbolic and mathematical. http://id.loc.gov/authorities/subjects/sh85078115 Logique symbolique et mathématique. MATHEMATICS General. bisacsh Lógica matemática embne Logic, Symbolic and mathematical fast |
| topic_facet | Logic, Symbolic and mathematical. Logique symbolique et mathématique. MATHEMATICS General. Lógica matemática Logic, Symbolic and mathematical |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=498398 |
| work_keys_str_mv | AT cummingsjames appalachiansettheory20062012 AT schimmerlingernest appalachiansettheory20062012 |