Injective choice functions:
Gespeichert in:
| Beteiligte Personen: | , , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1987
|
| Schriftenreihe: | Lecture notes in mathematics
1238 |
| Schlagwörter: | |
| Links: | 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 |
| Umfang: | VI, 183 S. |
| ISBN: | 3540172211 0387172211 |
Internformat
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 | |
| 300 | |a VI, 183 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Lecture notes in mathematics |v 1238 | |
| 650 | 4 | |a Ensembles, Théorie des | |
| 650 | 4 | |a Fonctions (Mathématiques) | |
| 650 | 4 | |a Combinatorial analysis | |
| 650 | 4 | |a Combinatorial set theory | |
| 650 | 4 | |a Set theory | |
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| 700 | 1 | |a Podewski, Klaus-Peter |e Verfasser |4 aut | |
| 700 | 1 | |a Steffens, Karsten |e Verfasser |4 aut | |
| 830 | 0 | |a Lecture notes in mathematics |v 1238 |w (DE-604)BV000676446 |9 1238 | |
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Datensatz im Suchindex
| DE-BY-TUM_call_number | 0102 MAT 001z 2001 B 999-1238 |
|---|---|
| DE-BY-TUM_katkey | 78835 |
| DE-BY-TUM_location | 01 |
| DE-BY-TUM_media_number | 040020153402 |
| _version_ | 1821938655508299776 |
| adam_text | 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
|
| any_adam_object | 1 |
| author | Holz, Michael Podewski, Klaus-Peter Steffens, Karsten |
| author_facet | Holz, Michael Podewski, Klaus-Peter Steffens, Karsten |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 850 |
| classification_tum | MAT 040f |
| ctrlnum | (OCoLC)230843102 (DE-599)BVBBV000641997 |
| dewey-full | 511.33 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.33 |
| dewey-search | 511.33 |
| dewey-sort | 3511.33 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV000641997 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T07:24:21Z |
| institution | BVB |
| isbn | 3540172211 0387172211 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000399957 |
| oclc_num | 230843102 |
| open_access_boolean | |
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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 |
| 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 |
| work_keys_str_mv | AT holzmichael injectivechoicefunctions AT podewskiklauspeter injectivechoicefunctions AT steffenskarsten injectivechoicefunctions |
Inhaltsverzeichnis
Paper/Kapitel scannen lassen
Paper/Kapitel scannen lassen
Teilbibliothek Mathematik & Informatik
| Signatur: |
0102 MAT 001z 2001 B 999-1238 Lageplan |
|---|---|
| Exemplar 1 | Ausleihbar Am Standort |