Notation and Prerequisites
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 a ∈ R d shall be a = (α i ) = (α 1, α 2,…,α d ).
KeywordsHyperbolic Space Projective Transformation Convex POLYTOPES Collinear Point Linear Hull
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