000			02927nam a22004693i 4500
001			EBC3114432
003			MiAaPQ
005			20240729124607.0
006			m o d |
007			cr cnu||||||||
008			240724s2002 xx o ||||0 eng d
020			_a9781470403348 _q(electronic bk.)
020			_z9780821827697
035			_a(MiAaPQ)EBC3114432
035			_a(Au-PeEL)EBL3114432
035			_a(CaPaEBR)ebr11041210
035			_a(OCoLC)922965096
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA166.6 -- .S26 2002eb
082	0		_a510 s;511/.6
100	1		_aSantos, Francisco.
245	1	0	_aTriangulations of Oriented Matroids.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c2002.
264		4	_c©2002.
300			_a1 online resource (95 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.156
505	0		_aIntro -- 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.
588			_aDescription based on publisher supplied metadata and other sources.
590			_aElectronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650		0	_aOriented matroids.
650		0	_aPolytopes.
650		0	_aTriangularization (Mathematics).
655		4	_aElectronic books.
776	0	8	_iPrint version: _aSantos, Francisco _tTriangulations of Oriented Matroids _dProvidence : American Mathematical Society,c2002 _z9780821827697
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114432 _zClick to View
999			_c69927 _d69927