Santos, Francisco. <br/><br/>
Triangulations of Oriented Matroids. 

 - 1st ed. 
 - 1 online resource (95 pages) 
 - Memoirs of the American Mathematical Society ;  v.156 .
 - Memoirs of the American Mathematical Society .
<br/><br/>Intro -- 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. 
<br/><br/><label>ISBN: </label>9781470403348 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Oriented matroids.<br/>Polytopes.<br/>Triangularization (Mathematics).
<br/><br/><label>Index Terms--Genre/Form: </label><br/>Electronic books.
<br/><br/><label>LC Class. No.: </label>QA166.6 -- .S26 2002eb 
<br/><br/><label>Dewey Class. No.: </label>510 s;511/.6