Splits and tight spans of convex polytopes:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
München
Verl. Dr. Hut
2009
|
| Ausgabe: | 1. Aufl. |
| Schriftenreihe: | Mathematik
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 140 S. graph. Darst. 210 mm x 148 mm, 189 gr. |
| ISBN: | 9783868530100 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804138822793953280 |
|---|---|
| adam_text | 7.2. COMPUTATIONS 99 CONTENTS DEUTSCHE ZUSAMMENFASSUNG 3 CHAPTER 1.
INTRODUCTION AND SUMMARY 7 CHAPTER 2. SPLITTING POLYTOPES 11 2.1.
INTRODUCTION 11 2.2. COHERENCY OF WEIGHT PUNCTIONS 12 2.3. SPLITS AND
THE SPLIT DECOMPOSITION THEOREM 18 2.4. SPLIT COMPLEXES AND SPLIT
SUBDIVISIONS 22 2.5. HYPERSIMPLICES 25 2.6. FINITE METRIC SPACES 30 2.7.
MATROID POLYTOPES AND TROPICAL GRASSMANNIANS 32 2.8. OPEN QUESTIONS AND
CONCLUDING REMARKS 39 CHAPTER 3. MORE ABOUT SPLITS 41 3.1. CONDITIONS
FOR SPLITS AND COMPATIBILITY 41 3.2. EXAMPLES 46 3.3. POLYTOPE
CONSTRUCTIONS AND SPLITS 52 3.4. HYPERPLANE ARRANGEMENTS 54 3.5.
ORIENTED MATROIDS 56 3.6. COMBINATORIAL DESCRIPTION OF SPLITS 58 CHAPTER
4. TOTALLY SPLITTABLE POLYTOPES 61 4.1. SPLITS AND GALE DUALITY 61 4.2.
TOTALLY SPLITTABLE POLYTOPES 63 CHAPTER 5. SPLITS AND TIGHT SPANS OF
POINT CONFIGURATIONS 73 5.1. COHERENCY OF WEIGHT PUNCTIONS 74 5.2. TIGHT
SPANS OF POINT CONFIGURATIONS AND POLYTOPES 76 5.3. SPLITS AND THE SPLIT
DECOMPOSITION THEOREM 78 5.4. TOTALLY SPLITTABLE POINT CONFIGURATIONS 81
CHAPTER 6. ADDITIONAL FACETS OF THE SECONDARY POLYTOPE 85 6.1.
FC-SUBDIVISIONS 85 6.2. FC-SPLITS 92 6.3. OPEN QUESTIONS AND CONCLUDING
REMARKS 96 CHAPTER 7. HOW TO DRAW TROPICAL PLANES 97 7.1. INTRODUCTION
97 BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/993259189
DIGITALISIERT DURCH 6 CONTENTS 7.3. MATROID SUBDIVISIONS 104 7.4. TREE
ARRANGEMENTS 107 7.5. TROPICAL PLANES 113 7.6. RESTRICTING TO PAPPUS 116
CHAPTER 8. LOOSE ENDS 119 8.1. EHRHART THEORY AND COMMUTATIVE ALGEBRA
119 8.1.1. EHRHART THEORY 119 8.1.2. COMMUTATIVE ALGEBRA 121 8.1.3.
RELATIONS TO COHERENCY OF WEIGHT FUNCTIONS 124 8.2. FINITE METRIC SPACES
126 8.3. QUASI SPLIT SUBDIVISIONS 129 8.4. FIBER POLYTOPES 131
BIBLIOGRAPHY 135
|
| any_adam_object | 1 |
| author | Herrmann, Sven 1982- |
| author_GND | (DE-588)137758677 |
| author_facet | Herrmann, Sven 1982- |
| author_role | aut |
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| bvnumber | BV035397025 |
| ctrlnum | (OCoLC)318643258 (DE-599)DNB993259189 |
| dewey-full | 516.158 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.158 |
| dewey-search | 516.158 |
| dewey-sort | 3516.158 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1. Aufl. |
| format | Thesis Book |
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| indexdate | 2024-07-09T21:34:18Z |
| institution | BVB |
| isbn | 9783868530100 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017317735 |
| oclc_num | 318643258 |
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| owner_facet | DE-19 DE-BY-UBM DE-12 DE-29T |
| physical | 140 S. graph. Darst. 210 mm x 148 mm, 189 gr. |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Verl. Dr. Hut |
| record_format | marc |
| series2 | Mathematik |
| spelling | Herrmann, Sven 1982- Verfasser (DE-588)137758677 aut Splits and tight spans of convex polytopes von Sven Herrmann 1. Aufl. München Verl. Dr. Hut 2009 140 S. graph. Darst. 210 mm x 148 mm, 189 gr. txt rdacontent n rdamedia nc rdacarrier Mathematik Zugl.: Darmstadt, Techn. Univ., Diss., 2009 Konvexes Polytop - Unterteilung Konvexes Polytop (DE-588)4367579-7 gnd rswk-swf Unterteilung (DE-588)4474319-1 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Konvexes Polytop (DE-588)4367579-7 s Unterteilung (DE-588)4474319-1 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017317735&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Herrmann, Sven 1982- Splits and tight spans of convex polytopes Konvexes Polytop - Unterteilung Konvexes Polytop (DE-588)4367579-7 gnd Unterteilung (DE-588)4474319-1 gnd |
| subject_GND | (DE-588)4367579-7 (DE-588)4474319-1 (DE-588)4113937-9 |
| title | Splits and tight spans of convex polytopes |
| title_auth | Splits and tight spans of convex polytopes |
| title_exact_search | Splits and tight spans of convex polytopes |
| title_full | Splits and tight spans of convex polytopes von Sven Herrmann |
| title_fullStr | Splits and tight spans of convex polytopes von Sven Herrmann |
| title_full_unstemmed | Splits and tight spans of convex polytopes von Sven Herrmann |
| title_short | Splits and tight spans of convex polytopes |
| title_sort | splits and tight spans of convex polytopes |
| topic | Konvexes Polytop - Unterteilung Konvexes Polytop (DE-588)4367579-7 gnd Unterteilung (DE-588)4474319-1 gnd |
| topic_facet | Konvexes Polytop - Unterteilung Konvexes Polytop Unterteilung Hochschulschrift |
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