Basic properties of convex polytopes
作者： Jürgen Richter-Gebert , Günter M. Ziegler , Martin Henk
DOI: 10.1201/9781420035315.CH16
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摘要: Convex polytopes are fundamental geometric objects that have been investigated since antiquity. The beauty of their theory is nowadays complemented by importance for many other mathematical subjects, ranging from integration theory, algebraic topology, and geometry (toric varieties) to linear combinatorial optimization. In this chapter we try give a short introduction, provide sketch “what look like” “how they behave,” with explicit examples, briefly state some main results (where further details in the subsequent chapters Handbook). We concentrate on two topics:
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