Set theory exploring independence and truth
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| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cham [u.a.]
Springer
2014
|
| Schriftenreihe: | Universitext
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| Schlagworte: | |
| Online-Zugang: | BTU01 FRO01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
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Datensatz im Suchindex
| DE-BY-TUM_katkey | 2006100 |
|---|---|
| _version_ | 1816713991904296960 |
| adam_text | SET THEORY
/ SCHINDLER, RALF
: 2014
TABLE OF CONTENTS / INHALTSVERZEICHNIS
NAIVE SET THEORY
AXIOMATIC SET THEORY
ORDINALS
CARDINALS
CONSTRUCTABILITY
FORCING
DESCRIPTIVE SET THEORY
SOLOVAY’S MODEL
THE RAISONNIER FILTER
MEASURABLE CARDINALS
0# AND JENSEN’S COVERING LEMMA
ANALYTIC AND FULL DETERMINACY
PROJECTIVE DETERMINACY
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
SET THEORY
/ SCHINDLER, RALF
: 2014
ABSTRACT / INHALTSTEXT
THIS TEXTBOOK GIVES AN INTRODUCTION TO AXIOMATIC SET THEORY AND EXAMINES
THE PROMINENT QUESTIONS THAT ARE RELEVANT IN CURRENT RESEARCH IN A
MANNER THAT IS ACCESSIBLE TO STUDENTS. ITS MAIN THEME IS THE INTERPLAY
OF LARGE CARDINALS, INNER MODELS, FORCING, AND DESCRIPTIVE SET THEORY.
THE FOLLOWING TOPICS ARE COVERED: • FORCING AND CONSTRUCTABILITY
• THE SOLOVAY-SHELAH THEOREM I.E. THE EQUICONSISTENCY OF ‘EVERY SET
OF REALS IS LEBESGUE MEASURABLE’ WITH ONE INACCESSIBLE CARDINAL •
FINE STRUCTURE THEORY AND A MODERN APPROACH TO SHARPS • JENSEN’S
COVERING LEMMA • THE EQUIVALENCE OF ANALYTIC DETERMINACY WITH SHARPS
• THE THEORY OF EXTENDERS AND ITERATION TREES • A PROOF OF
PROJECTIVE DETERMINACY FROM WOODIN CARDINALS. SET THEORY REQUIRES
ONLY A BASIC KNOWLEDGE OF MATHEMATICAL LOGIC AND WILL BE SUITABLE FOR
ADVANCED STUDENTS AND RESEARCHERS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Schindler, Ralf 1965- |
| author_GND | (DE-588)120896591 |
| author_facet | Schindler, Ralf 1965- |
| author_role | aut |
| author_sort | Schindler, Ralf 1965- |
| author_variant | r s rs |
| building | Verbundindex |
| bvnumber | BV041922888 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA |
| ctrlnum | (OCoLC)881631903 (DE-599)DNB1051537304 |
| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-319-06725-4 |
| format | Electronic eBook |
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| id | DE-604.BV041922888 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-25T17:51:13Z |
| institution | BVB |
| isbn | 9783319067247 9783319067254 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027366374 |
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| publishDate | 2014 |
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| publisher | Springer |
| record_format | marc |
| series2 | Universitext |
| spellingShingle | Schindler, Ralf 1965- Set theory exploring independence and truth Menge (DE-588)4038613-2 gnd |
| subject_GND | (DE-588)4038613-2 |
| title | Set theory exploring independence and truth |
| title_auth | Set theory exploring independence and truth |
| title_exact_search | Set theory exploring independence and truth |
| title_full | Set theory exploring independence and truth Ralf Schindler |
| title_fullStr | Set theory exploring independence and truth Ralf Schindler |
| title_full_unstemmed | Set theory exploring independence and truth Ralf Schindler |
| title_short | Set theory |
| title_sort | set theory exploring independence and truth |
| title_sub | exploring independence and truth |
| topic | Menge (DE-588)4038613-2 gnd |
| topic_facet | Menge |
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