Inner models and large cardinals:
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Berlin ;New York
Walter de Gruyter
2002
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Schriftenreihe: | De Gruyter series in logic and its applications
5 |
Schlagworte: | |
Online-Zugang: | Volltext |
Beschreibung: | Includes bibliographical references (p. [359]-363) and index Biographical note: Professor Martin Zeman, Institut für formale Logik, University Vienna, Vienna, Austria Main description: This volume is an introduction to inner model theory, an area of set theory which is concerned with fine structural inner models reflecting large cardinal properties of the set theoretic universe. The monograph contains a detailed presentation of general fine structure theory as well as a modern approach to the construction of small core models, namely those models containing at most one strong cardinal, together with some of their applications. The final part of the book is devoted to a new approach encompassing large inner models which admit many Woodin cardinals. The exposition is self-contained and does not assume any special prerequisities, which should make the text comprehensible not only to specialists but also to advanced students in Mathematical Logic and Set Theory Review text: "Insgesamt ist Zeman ein ausgezeichnetes Lehrbuch über Kernmodelltheorie gelungen. Es ist sehr gut zum Selbststudium geeignet."H.-D. Donder, Jahresbericht der Deutschen Mathematiker-Vereinigung 106, 3-2004 |
Beschreibung: | 1 Online-Ressource (xi, 369 p) |
ISBN: | 9783110857818 |
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500 | |a Main description: This volume is an introduction to inner model theory, an area of set theory which is concerned with fine structural inner models reflecting large cardinal properties of the set theoretic universe. The monograph contains a detailed presentation of general fine structure theory as well as a modern approach to the construction of small core models, namely those models containing at most one strong cardinal, together with some of their applications. The final part of the book is devoted to a new approach encompassing large inner models which admit many Woodin cardinals. The exposition is self-contained and does not assume any special prerequisities, which should make the text comprehensible not only to specialists but also to advanced students in Mathematical Logic and Set Theory | ||
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Datensatz im Suchindex
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any_adam_object | |
author | Zeman, Martin |
author_facet | Zeman, Martin |
author_role | aut |
author_sort | Zeman, Martin |
author_variant | m z mz |
building | Verbundindex |
bvnumber | BV042351744 |
classification_rvk | SK 150 SK 155 |
collection | ZDB-23-DGG ZDB-23-GMA ZDB-23-GBA |
ctrlnum | (OCoLC)815507724 (DE-599)BVBBV042351744 |
dewey-full | 511.3/22 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 511 - General principles of mathematics |
dewey-raw | 511.3/22 |
dewey-search | 511.3/22 |
dewey-sort | 3511.3 222 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Electronic eBook |
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illustrated | Not Illustrated |
indexdate | 2024-07-10T01:19:14Z |
institution | BVB |
isbn | 9783110857818 |
language | English |
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spelling | Zeman, Martin Verfasser aut Inner models and large cardinals Martin Zeman Berlin ;New York Walter de Gruyter 2002 1 Online-Ressource (xi, 369 p) txt rdacontent c rdamedia cr rdacarrier De Gruyter series in logic and its applications 5 Includes bibliographical references (p. [359]-363) and index Biographical note: Professor Martin Zeman, Institut für formale Logik, University Vienna, Vienna, Austria Main description: This volume is an introduction to inner model theory, an area of set theory which is concerned with fine structural inner models reflecting large cardinal properties of the set theoretic universe. The monograph contains a detailed presentation of general fine structure theory as well as a modern approach to the construction of small core models, namely those models containing at most one strong cardinal, together with some of their applications. The final part of the book is devoted to a new approach encompassing large inner models which admit many Woodin cardinals. The exposition is self-contained and does not assume any special prerequisities, which should make the text comprehensible not only to specialists but also to advanced students in Mathematical Logic and Set Theory Review text: "Insgesamt ist Zeman ein ausgezeichnetes Lehrbuch über Kernmodelltheorie gelungen. Es ist sehr gut zum Selbststudium geeignet."H.-D. Donder, Jahresbericht der Deutschen Mathematiker-Vereinigung 106, 3-2004 Constructibility (Set theory) Large cardinals (Mathematics) Inneres Modell (DE-588)4344259-6 gnd rswk-swf Kardinalzahl (DE-588)4163318-0 gnd rswk-swf Inneres Modell (DE-588)4344259-6 s 1\p DE-604 Kardinalzahl (DE-588)4163318-0 s 2\p DE-604 Erscheint auch als Druck-Ausgabe, Hardcover 3-11-016368-3 Erscheint auch als Druck-Ausgabe, Hardcover 978-3-11-016368-1 http://www.degruyter.com/doi/book/10.1515/9783110857818 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Zeman, Martin Inner models and large cardinals Constructibility (Set theory) Large cardinals (Mathematics) Inneres Modell (DE-588)4344259-6 gnd Kardinalzahl (DE-588)4163318-0 gnd |
subject_GND | (DE-588)4344259-6 (DE-588)4163318-0 |
title | Inner models and large cardinals |
title_auth | Inner models and large cardinals |
title_exact_search | Inner models and large cardinals |
title_full | Inner models and large cardinals Martin Zeman |
title_fullStr | Inner models and large cardinals Martin Zeman |
title_full_unstemmed | Inner models and large cardinals Martin Zeman |
title_short | Inner models and large cardinals |
title_sort | inner models and large cardinals |
topic | Constructibility (Set theory) Large cardinals (Mathematics) Inneres Modell (DE-588)4344259-6 gnd Kardinalzahl (DE-588)4163318-0 gnd |
topic_facet | Constructibility (Set theory) Large cardinals (Mathematics) Inneres Modell Kardinalzahl |
url | http://www.degruyter.com/doi/book/10.1515/9783110857818 |
work_keys_str_mv | AT zemanmartin innermodelsandlargecardinals |