Lectures on Polytopes

  1. Definitions (H-polytope, V-Polyhedron, V-Polytope, Cone, Conical Hull)
  2. Main Theorem (Minkowski–Weyl)
  3. Fourier-Motzkin Eliminiation (Theorem 1.2 Proof) (\(\mathcal{H}\)-polyhedron \( \iff \mathcal{V}\)-polyhedron)
  4. Farkas Lemma (I)
  5. Farkas Lemma (II)
  6. Faces of Polytopes Definitions