Descriptive Set Theory and Definable Forcing. (Record no. 69954)
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| 000 -LEADER | |
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| fixed length control field | 04166nam a22004933i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC3114459 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240729124608.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d | |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cnu|||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240724s2003 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781470403911 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780821834503 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC3114459 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL3114459 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaPaEBR)ebr11041237 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)922965130 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | MiAaPQ |
| Language of cataloging | eng |
| Description conventions | rda |
| -- | pn |
| Transcribing agency | MiAaPQ |
| Modifying agency | MiAaPQ |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA248 -- .Z37 2004eb |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 510 s;511.3/22 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Zapletal, Jindřich. |
| 245 10 - TITLE STATEMENT | |
| Title | Descriptive Set Theory and Definable Forcing. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Providence : |
| Name of producer, publisher, distributor, manufacturer | American Mathematical Society, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2003. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©2004. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (158 pages) |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Content type code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Media type code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Carrier type code | cr |
| Source | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| Series statement | Memoirs of the American Mathematical Society ; |
| Volume/sequential designation | v.167 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Intro -- Contents -- 1 Introduction -- 1.1 The subject of the book -- 1.2 The structure of the book -- 1.3 History and acknowledgments -- 1.4 Notation and literature -- 2 Definable forcing adding a single real -- 2.1 The factor algebras -- 2.2 Basic descriptive set theoretic considerations -- 2.3 Examples -- 2.3.1 The ideal of countable sets -- 2.3.2 The ideal of σ bounded sets -- 2.3.3 The ideal of meager sets -- 2.3.4 The cmin ideal -- 2.3.5 Ideals generated by closed sets -- 2.3.6 The Laver ideal -- 2.3.7 Ideals associated with creature forcings -- 2.3.8 The Lebesgue null ideal -- 2.3.9 Mathias forcing -- 2.3.10 The E[sub(0)] ideal -- 2.3.11 Silver forcing -- 2.3.12 The σ porous ideal -- 2.3.13 Steprans forcing -- 2.3.14 Hausdorff measures -- 2.3.15 Unions of ideals -- 2.3.16 Cross-products of ideals -- 2.3.17 The σ splitting ideal -- 2.3.18 Namba forcing -- 3 The countable support iteration -- 3.1 A topological view of the iteration -- 3.2 The iterated Fubini powers of an ideal -- 3.3 A dichotomy for Π[sup(1)][sub(1)]on Σ[sup(1)][sub(1)] ideals -- 3.4 A dichotomy for almost full ideals -- 3.5 Other dichotomies -- 3.6 Cardinal invariants of the iterated ideals -- 4 Other forcings -- 4.1 Illfounded iterations -- 4.1.1 Strongly proper forcings -- 4.1.2 The ideals associated with countable length iterations -- 4.1.3 The properties of the factor ordering -- 4.1.4 The uncountable length -- 4.1.5 Sacks forcing iteration -- 4.2 Towers of ideals -- 4.2.1 Shooting a club with no infinite subset in the ground model -- 4.2.2 Shooting a club with finite intersection with every ground model ordertype w set -- 5 Applications -- 5.1 Ciesielski-Pawlikowski Axiom CPA and variations -- 5.1.1 The axioms -- 5.1.2 Absoluteness with no large cardinals -- 5.1.3 Absoluteness with large cardinals -- 5.2 Duality theorems -- 5.3 Interpolation theorems. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 5.4 Preservation theorems -- 5.4.1 Ergodic ideals -- 5.4.2 Preservation and ergodicity -- 5.4.3 Uniformity of σ ideal generated by closed sets -- A: Examples of cardinal invariants -- B: The syntax of cardinal invariants -- B.1 The covering numbers -- B.2 The tame and very tame invariants -- C: Effective descriptive set theory -- D: Large cardinals -- D.1 The absoluteness results -- D.2 The determinacy results. |
| 588 ## - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Description based on publisher supplied metadata and other sources. |
| 590 ## - LOCAL NOTE (RLIN) | |
| Local note | Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Descriptive set theory. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Forcing (Model theory). |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Continuum hypothesis. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Borel sets. |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Zapletal, Jindřich |
| Title | Descriptive Set Theory and Definable Forcing |
| Place, publisher, and date of publication | Providence : American Mathematical Society,c2003 |
| International Standard Book Number | 9780821834503 |
| 797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN) | |
| Corporate name or jurisdiction name as entry element | ProQuest (Firm) |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Memoirs of the American Mathematical Society |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114459">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114459</a> |
| Public note | Click to View |
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