Author | Brรธndsted, Arne. author |
---|---|
Title | An Introduction to Convex Polytopes [electronic resource] / by Arne Brรธndsted |
Imprint | New York, NY : Springer New York : Imprint: Springer, 1983 |
Connect to | http://dx.doi.org/10.1007/978-1-4612-1148-8 |
Descript | VIII, 162 p. online resource |
1 Convex Sets -- A7;1. The Affine Structure of ?d -- A7;2. Convex Sets -- A7;3. The Relative Interior of a Convex Set -- A7;4. Supporting Hyperplanes and Halfspaces -- A7;5. The Facial Structure of a Closed Convex Set -- A7;6. Polarity -- 2 Convex Polytopes -- A7;7. Polytopes -- A7;8. Polyhedral Sets -- A7;9. Polarity of Polytopes and Polyhedral Sets -- A7;10. Equivalence and Duality of Polytopes -- A7;11. Vertex-Figures -- A7;12. Simple and Simplicial Polytopes -- A7;13. Cyclic Polytopes -- A7;14. Neighbourly Polytopes -- A7;15. The Graph of a Polytope -- 3 Combinatorial Theory of Convex Polytopes -- A7;16. Euler฿ฃs Relation -- A7;17. The Dehn-Sommerville Relations -- A7;18. The Upper Bound Theorem -- A7;19. The Lower Bound Theorem -- A7;20. McMullen฿ฃs Conditions -- Appendix 1 Lattices -- Appendix 2 Graphs -- Appendix 3 Combinatorial Identities -- Bibliographical Comments -- List of Symbols