Triangulations of oriented matroids:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
AMS
2002
|
| Series: | Memoirs of the American Mathematical Society
741 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | "Volume 156, number 741 (second of 5 numbers)." |
| Physical Description: | VIII, 80 S. graph. Darst. |
| ISBN: | 0821827693 |
Staff View
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| 650 | 7 | |a Orientiertes Matroid |2 swd | |
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Record in the Search Index
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|---|---|
| adam_text | Contents
Introduction 1
Chapter 1. Preliminaries on Oriented Matroids 7
1.1. Convexity. 7
1.2. Extensions. Lexicographic extensions. 9
1.3. Euclideanness. 12
Chapter 2. Triangulations of Oriented Matroids 15
2.1. Definition, characterizations and remarks 15
2.2. Equivalence of the different characterizations 18
2.3. Some properties of triangulations 23
2.4. Topology of triangulations 26
Chapter 3. Duality between Triangulations and Extensions 31
3.1. Circuit, cocircuit, extension and triangulation vectors 31
3.2. The affine span of characteristic vectors of triangulations 33
3.3. Mutations versus geometric bistellar flips 37
Chapter 4. Subdivisions of Lawrence Polytopes 43
4.1. Lifting subdivisions. Subdivisions 43
4.2. Lawrence polytopes only have lifting subdivisions 49
4.3. The extension space conjecture and the Baues problem 53
4.4. A reoriented Lawrence construction 55
Chapter 5. Lifting Triangulations 59
5.1. Some properties. Lifting versus regular triangulations. 59
5.2. Three interesting non lifting triangulations 64
5.3. Two characterizations of lifting subdivisions. 72
Bibliography 79
vii
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| id | DE-604.BV014220758 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:59:52Z |
| institution | BVB |
| isbn | 0821827693 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009750736 |
| oclc_num | 48474158 |
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| owner_facet | DE-91G DE-BY-TUM DE-739 DE-355 DE-BY-UBR DE-29T DE-83 DE-188 |
| physical | VIII, 80 S. graph. Darst. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | AMS |
| record_format | marc |
| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Santos, Francisco 1968- Verfasser (DE-588)1020305630 aut Triangulations of oriented matroids Francisco Santos Providence, RI AMS 2002 VIII, 80 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 741 "Volume 156, number 741 (second of 5 numbers)." Combinatorische meetkunde gtt Orientiertes Matroid swd Polytop swd Polytopen gtt Triangulierung swd Trigonometrie gtt Oriented matroids Polytopes Triangularization (Mathematics) Memoirs of the American Mathematical Society 741 (DE-604)BV008000141 741 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009750736&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Santos, Francisco 1968- Triangulations of oriented matroids Memoirs of the American Mathematical Society Combinatorische meetkunde gtt Orientiertes Matroid swd Polytop swd Polytopen gtt Triangulierung swd Trigonometrie gtt Oriented matroids Polytopes Triangularization (Mathematics) |
| title | Triangulations of oriented matroids |
| title_auth | Triangulations of oriented matroids |
| title_exact_search | Triangulations of oriented matroids |
| title_full | Triangulations of oriented matroids Francisco Santos |
| title_fullStr | Triangulations of oriented matroids Francisco Santos |
| title_full_unstemmed | Triangulations of oriented matroids Francisco Santos |
| title_short | Triangulations of oriented matroids |
| title_sort | triangulations of oriented matroids |
| topic | Combinatorische meetkunde gtt Orientiertes Matroid swd Polytop swd Polytopen gtt Triangulierung swd Trigonometrie gtt Oriented matroids Polytopes Triangularization (Mathematics) |
| topic_facet | Combinatorische meetkunde Orientiertes Matroid Polytop Polytopen Triangulierung Trigonometrie Oriented matroids Polytopes Triangularization (Mathematics) |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009750736&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT santosfrancisco triangulationsoforientedmatroids |