Forcing idealized:
Descriptive set theory and definable proper forcing are two areas of set theory that developed quite independently of each other. This monograph unites them and explores the connections between them. Forcing is presented in terms of quotient algebras of various natural sigma-ideals on Polish spaces,...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2008
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| Schriftenreihe: | Cambridge tracts in mathematics
174 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 UBR01 Volltext |
| Zusammenfassung: | Descriptive set theory and definable proper forcing are two areas of set theory that developed quite independently of each other. This monograph unites them and explores the connections between them. Forcing is presented in terms of quotient algebras of various natural sigma-ideals on Polish spaces, and forcing properties in terms of Fubini-style properties or in terms of determined infinite games on Boolean algebras. Many examples of forcing notions appear, some newly isolated from measure theory, dynamical systems, and other fields. The descriptive set theoretic analysis of operations on forcings opens the door to applications of the theory: absoluteness theorems for certain classical forcing extensions, duality theorems, and preservation theorems for the countable support iteration. Containing original research, this text highlights the connections that forcing makes with other areas of mathematics, and is essential reading for academic researchers and graduate students in set theory, abstract analysis and measure theory |
| Beschreibung: | 1 Online-Ressource (vi, 314 Seiten) |
| ISBN: | 9780511542732 |
| DOI: | 10.1017/CBO9780511542732 |
Internformat
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| 505 | 8 | |a Introduction -- Basics -- Properties -- Examples -- Operations -- Applications -- Questions | |
| 520 | |a Descriptive set theory and definable proper forcing are two areas of set theory that developed quite independently of each other. This monograph unites them and explores the connections between them. Forcing is presented in terms of quotient algebras of various natural sigma-ideals on Polish spaces, and forcing properties in terms of Fubini-style properties or in terms of determined infinite games on Boolean algebras. Many examples of forcing notions appear, some newly isolated from measure theory, dynamical systems, and other fields. The descriptive set theoretic analysis of operations on forcings opens the door to applications of the theory: absoluteness theorems for certain classical forcing extensions, duality theorems, and preservation theorems for the countable support iteration. Containing original research, this text highlights the connections that forcing makes with other areas of mathematics, and is essential reading for academic researchers and graduate students in set theory, abstract analysis and measure theory | ||
| 650 | 4 | |a Descriptive set theory | |
| 650 | 4 | |a Forcing (Model theory) | |
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Datensatz im Suchindex
| _version_ | 1804176884305494016 |
|---|---|
| any_adam_object | |
| author | Zapletal, Jindřich 1969- |
| author_GND | (DE-588)142324175 |
| author_facet | Zapletal, Jindřich 1969- |
| author_role | aut |
| author_sort | Zapletal, Jindřich 1969- |
| author_variant | j z jz |
| building | Verbundindex |
| bvnumber | BV043941968 |
| classification_rvk | SK 150 SK 155 |
| collection | ZDB-20-CBO |
| contents | Introduction -- Basics -- Properties -- Examples -- Operations -- Applications -- Questions |
| ctrlnum | (ZDB-20-CBO)CR9780511542732 (OCoLC)850821114 (DE-599)BVBBV043941968 |
| dewey-full | 511.322 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.322 |
| dewey-search | 511.322 |
| dewey-sort | 3511.322 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511542732 |
| format | Electronic eBook |
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| id | DE-604.BV043941968 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:16Z |
| institution | BVB |
| isbn | 9780511542732 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029350938 |
| oclc_num | 850821114 |
| open_access_boolean | |
| owner | DE-12 DE-92 DE-355 DE-BY-UBR |
| owner_facet | DE-12 DE-92 DE-355 DE-BY-UBR |
| physical | 1 Online-Ressource (vi, 314 Seiten) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO ZDB-20-CBO UBR Einzelkauf (Lückenergänzung CUP Serien 2018) |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | Cambridge tracts in mathematics |
| spelling | Zapletal, Jindřich 1969- Verfasser (DE-588)142324175 aut Forcing idealized Jindřich Zapletal Cambridge Cambridge University Press 2008 1 Online-Ressource (vi, 314 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge tracts in mathematics 174 Introduction -- Basics -- Properties -- Examples -- Operations -- Applications -- Questions Descriptive set theory and definable proper forcing are two areas of set theory that developed quite independently of each other. This monograph unites them and explores the connections between them. Forcing is presented in terms of quotient algebras of various natural sigma-ideals on Polish spaces, and forcing properties in terms of Fubini-style properties or in terms of determined infinite games on Boolean algebras. Many examples of forcing notions appear, some newly isolated from measure theory, dynamical systems, and other fields. The descriptive set theoretic analysis of operations on forcings opens the door to applications of the theory: absoluteness theorems for certain classical forcing extensions, duality theorems, and preservation theorems for the countable support iteration. Containing original research, this text highlights the connections that forcing makes with other areas of mathematics, and is essential reading for academic researchers and graduate students in set theory, abstract analysis and measure theory Descriptive set theory Forcing (Model theory) Erscheint auch als Druck-Ausgabe 978-0-521-87426-7 https://doi.org/10.1017/CBO9780511542732 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Zapletal, Jindřich 1969- Forcing idealized Introduction -- Basics -- Properties -- Examples -- Operations -- Applications -- Questions Descriptive set theory Forcing (Model theory) |
| title | Forcing idealized |
| title_auth | Forcing idealized |
| title_exact_search | Forcing idealized |
| title_full | Forcing idealized Jindřich Zapletal |
| title_fullStr | Forcing idealized Jindřich Zapletal |
| title_full_unstemmed | Forcing idealized Jindřich Zapletal |
| title_short | Forcing idealized |
| title_sort | forcing idealized |
| topic | Descriptive set theory Forcing (Model theory) |
| topic_facet | Descriptive set theory Forcing (Model theory) |
| url | https://doi.org/10.1017/CBO9780511542732 |
| work_keys_str_mv | AT zapletaljindrich forcingidealized |