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Richter-Gebert J. — Realization Spaces of Polytopes, Vol. 164
Richter-Gebert J. — Realization Spaces of Polytopes, Vol. 164



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Название: Realization Spaces of Polytopes, Vol. 164

Автор: Richter-Gebert J.

Аннотация:

The book collects results about realization spaces of polytopes. It gives a presentation of the author's "Universality Theorem for 4-polytopes". It is a comprehensive survey of the important results that have been obtained in that direction. The approaches chosen are direct and very geometric in nature. The book is addressed to researchers and to graduate students. The former will find a comprehensive source for the above mentioned results. The latter will find a readable introduction to the field. The reader is assumed to be familiar with basic concepts of linear algebra.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1996

Количество страниц: 204

Добавлена в каталог: 04.07.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Realization space of a polytope      3 20
Realization space of an oriented matroid      5 112
Realization space, contractible      4
Realization space, disconnected      5 38 173
Realization space, non-contractible      5
realizations      2
Relative interior      124
Restriction      14
Rotations      18
rubber bands      122
Scalar product      13
SCALE      42 43 113
Schlegel diagram      26 88 122
Self-stress      3 117
Semialgebraic family      97
Semialgebraic set      3 21 68
Semialgebraic set, basic      21
Semialgebraic set, primary      3 8 21 41
Semialgebraic set, trivial      23
Shape of a 2-face      4—6 39 50 95
Shape of a 3-face      5 38
Shape, arbitrarily prescribable      4 5
Shape, non-arbitrarily prescribable      5 6 38 39 50 95
Shor's normal form      9 41 68 99
Shor, Peter      8 41
SIMPLE      3 117
Simplicial complex      5 6 95
Singly exponential      4 140 175
Singularity structure      21
SIZE      4 6 81 95 140 175
Skeleton      31 87
Sketch of the proof      8
slope      10
Sphere, combinatorial      4
Sphere, non-polytopal      5 84
Sphere, polytopal      4
Sporadic examples      5
Sreedharan, V.P.      174
Stable equivalence      5 22 71 97
Stable projection      21 97
Standardized computation frame      44
Staudt constructions      6 113
Steinberg, Amos      174
Steinitz problem for tori      176
Steinitz's theorem      1 3 117 120 138
Steinitz, Ernst      3 117
Stress      3 117
Stressed graph      122
Structure, combinatorial      16
Sturmfels, Bernd      4 81 175
Switch polytope      107
Symmetry group      1
Tent      8 28 31 45
Thurston, William P.      3 117
Tori      176
Transformation groups      18
Transformation, affine      13 18
Transformation, linear      13
Transformation, projective      31
Translations      18
Transmitter      46
Transmitter for line slopes      53
Transmitter, forgetful      48 81
Trivial fibration      21
Trivial semialgebraic set      23
Tutte's theorem      122
Tutte, William T.      122
Type, combinatorial      1 16
Type, homotopy      21
Universal partition theorem      97
Universal Partition Theorem for 4-polytopes      97 98
Universal Partition Theorem for oriented matroids      97 112
Universality Theorem      1 3 76
Universality theorem for 4-polytopes      3 6 76
Universality Theorem for 6-polytopes      162
Universality Theorem for codimension 4-polytopes      5
Universality Theorem for diagrams      87 88
Universality Theorem for fans      87 89
Universality Theorem for oriented matroid      162
Universality Theorem for oriented matroids      5 173
Universality Theorem for simplicial polytopes      173
Vector      13
Vertex coordinates, integral      4
Vertices      2
Visualization      26
von Staudt constructions      6 113
Wagner, Klaus      119
Weight      123
Whiteley, Walter      133
Whitney's theorem      121
Y-graph      118
Zero-functional      16
Ziegler, Guenter M.      5 6 13 39 160
Zonotope      165
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