Injective choice functions:
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| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
1987
|
| Series: | Lecture notes in mathematics
1238 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VI, 183 S. |
| ISBN: | 3540172211 0387172211 |
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MARC
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| 100 | 1 | |a Holz, Michael |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Injective choice functions |c Michael Holz ; Klaus-Peter Podewski ; Karsten Steffens |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1987 | |
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Record in the Search Index
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CONTENTS
Preface
Contents
Introduct i on 1
Chapter I. Set theoretic foundations 10
§1. Definitions and notations 10
§2. The axioms of ZFC 12
§3. Ordinal numbers 15
§4. Transfinite induction and transfinite recursion 18
§5. Cardinal numbers 22
§6. Clubs and stationary sets 26
Chapter II. General criteria and their applications 33
§1. Some basic definitions of graph theory 33
§2. Critical sets and families 35
§3. u tests 41
§4. The u test criterion 46
§5. The criterion of Aharoni, Nash Wi11iams and Shelah 61
§6. The Duality Theorem and its applications 75
§7. Proof of Aharoni's criterion 83
Chapter III. Structural properties of families 98
§1. Hall families 100
§2. Frames 105
§3. Critical families 113
§4. Inductive definitions of critical sets 119
§5. Queues 126
§6. Rank functions 132
§7. Stable families 140
§8. Maryin functions and demand functions 147
VI
Chapter IV. Misce11aneous theorems on marriages 158
§1. A Special criterion 158
§2. Shelah families and Nash Wi11iams families 159
§3. A sufficient criterion of Milner and Shelah 166
§4. Cotransversals 173
B ibl i ography 175
Index of Symbols 178
General i ndex 181 |
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| author | Holz, Michael Podewski, Klaus-Peter Steffens, Karsten |
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| dewey-full | 511.33 |
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| id | DE-604.BV000641997 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-20T04:38:29Z |
| institution | BVB |
| isbn | 3540172211 0387172211 |
| language | English |
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| physical | VI, 183 S. |
| publishDate | 1987 |
| publishDateSearch | 1987 |
| publishDateSort | 1987 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Holz, Michael Verfasser aut Injective choice functions Michael Holz ; Klaus-Peter Podewski ; Karsten Steffens Berlin [u.a.] Springer 1987 VI, 183 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1238 Ensembles, Théorie des Fonctions (Mathématiques) Combinatorial analysis Combinatorial set theory Set theory Injektive Auswahlfunktion (DE-588)4134350-5 gnd rswk-swf Injektive Auswahlfunktion (DE-588)4134350-5 s DE-604 Podewski, Klaus-Peter Verfasser aut Steffens, Karsten Verfasser aut Lecture notes in mathematics 1238 (DE-604)BV000676446 1238 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000399957&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Holz, Michael Podewski, Klaus-Peter Steffens, Karsten Injective choice functions Lecture notes in mathematics Ensembles, Théorie des Fonctions (Mathématiques) Combinatorial analysis Combinatorial set theory Set theory Injektive Auswahlfunktion (DE-588)4134350-5 gnd |
| subject_GND | (DE-588)4134350-5 |
| title | Injective choice functions |
| title_auth | Injective choice functions |
| title_exact_search | Injective choice functions |
| title_full | Injective choice functions Michael Holz ; Klaus-Peter Podewski ; Karsten Steffens |
| title_fullStr | Injective choice functions Michael Holz ; Klaus-Peter Podewski ; Karsten Steffens |
| title_full_unstemmed | Injective choice functions Michael Holz ; Klaus-Peter Podewski ; Karsten Steffens |
| title_short | Injective choice functions |
| title_sort | injective choice functions |
| topic | Ensembles, Théorie des Fonctions (Mathématiques) Combinatorial analysis Combinatorial set theory Set theory Injektive Auswahlfunktion (DE-588)4134350-5 gnd |
| topic_facet | Ensembles, Théorie des Fonctions (Mathématiques) Combinatorial analysis Combinatorial set theory Set theory Injektive Auswahlfunktion |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000399957&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
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