Triangulations of oriented matroids / / Francisco Santos

• Autore: Santos Francisco <1968->
• Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , 2002
• Descrizione fisica: 1 online resource (95 p.)
• Disciplina: 510 s; 511/.6
• Soggetto topico: Oriented matroids; Polytopes; Triangularization (Mathematics)
• Note generali: "Volume 156, number 741 (second of 5 numbers)."
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: ""Contents""; ""Introduction""; ""Chapter 1. Preliminaries on Oriented Matroids""; ""1.1. Convexity""; ""1.2. Extensions. Lexicographic extensions""; ""1.3. Euclideanness""; ""Chapter 2. Triangulations of Oriented Matroids""; ""2.1. Definition, characterizations and remarks""; ""2.2. Equivalence of the different characterizations""; ""2.3. Some properties of triangulations""; ""2.4. Topology of triangulations""; ""Chapter 3. Duality between Triangulations and Extensions""; ""3.1. Circuit, cocircuit, extension and triangulation vectors"" ; ""3.2. The affine span of characteristic vectors of triangulations""""3.3. Mutations versus geometric bistellar flips""; ""Chapter 4. Subdivisions of Lawrence Polytopes""; ""4.1. Lifting subdivisions. Subdivisions""; ""4.2. Lawrence polytopes only have lifting subdivisions""; ""4.3. The extension space conjecture and the Baues problem""; ""4.4. A reoriented Lawrence construction""; ""Chapter 5. Lifting Triangulations""; ""5.1. Some properties. Lifting versus regular triangulations""; ""5.2. Three interesting non-lifting triangulations""; ""5.3. Two characterizations of lifting subdivisions"" ; ""Bibliography""
• Titolo autorizzato: Triangulations of oriented matroids
• ISBN: 1-4704-0334-X
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910813656203321
• Lo trovi qui: Univ. Federico II
• Serie: Memoirs of the American Mathematical Society ; ; no. 741.