Notation and Prerequisites

  • Branko Grünbaum
Part of the Graduate Texts in Mathematics book series (GTM, volume 221)


With few exceptions, we shall be concerned with convexity in R d , the d-dimensional real Euclidean space. Lower case characters such as a, b, x, y, z shall denote points of R d , as well as the corresponding vectors; 0 is the origin as well as the number zero. Capitals like A, B, C, K shall denote sets; occasionally single points, if considered as one-pointed sets, shall be denoted by capitals. Greek characters α, β, λ μ, etc., shall denote reals, while n, k, i, j shall be used for integers. The coordinate representation of a point aR d shall be a = (α i ) = (α 1, α 2,…,α d ).


Hyperbolic Space Projective Transformation Convex POLYTOPES Collinear Point Linear Hull 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Science+Business Media New York 2003

Authors and Affiliations

  • Branko Grünbaum
    • 1
  1. 1.Department of MathematicsUniversity of Washington, SeattleSeattleUSA

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