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100   $a20011109d2002      uy|            0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aTriangulations of oriented matroids /$fFrancisco Santos
210  1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2002.
215   $a1 online resource (95 p.)
225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 741
300   $a"Volume 156, number 741 (second of 5 numbers)."
311   $a0-8218-2769-3 
320   $aIncludes bibliographical references.
327   $a""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""
327   $a""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""
327   $a""Bibliography""
410  0$aMemoirs of the American Mathematical Society ;$vno. 741.
606   $aOriented matroids
606   $aPolytopes
606   $aTriangularization (Mathematics)
615  0$aOriented matroids.
615  0$aPolytopes.
615  0$aTriangularization (Mathematics)
676   $a510 s
676   $a511/.6
700   $aSantos$b Francisco$f1968-$01566859
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910788846003321
996   $aTriangulations of oriented matroids$93837788
997   $aUNINA