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Lectures on polytopes Ziegler G.M.
Publisher: Springer

Ziegler, Lectures on polytopes, Graduate Texts in Mathematics, vol. From the reviews: "This is an excellent book on convex polytopes written by a young and extremely active researcher. Helvetici, 1935, 7; 3 Ziegler, G., Lectures on polytopes, Springer-Verlag, 1997. Elementare Theorie der konvexen Polyeder, Comment. Graduate Texts in Mathematics #0152: Lectures on Polytopes by G. We also establish connections between the above questions and the notion of a $ k$ -Cohen-Macaulay complex, which leads to a new filtration on . We obtain a number of relations between bigraded betti numbers of the complexes $ K_P$ . Convex Polytopes "The appearance of Grünbaum's book Convex Polytopes in 1967 was a moment of grace to geometers and combinatorialists. And prove that $ \operatorname {depth}\Bbbk [K_P] = n$ for all convex polytopes $ P$ of dimension $ n$ . Wiss., Göttingen, 1897, 198–219.