Facing up to arrangements : face-count formulas for partitions of space by hyperplanes / / Thomas Zaslavsky

• Autore: Zaslavsky Thomas
• Pubblicazione: Providence : , : American Mathematical Society, , [1975]; ©1975
• Descrizione fisica: 1 online resource (115 p.)
• Disciplina: 516/.13
• Soggetto topico: Combinatorial geometry; Combinatorial enumeration problems; Lattice theory
• Note generali: "Volume 1, issue 1."; Substantially the author's thesis, Massachusetts Institute of Technology.
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: ""3. Quick proofs (Eulerian method)""""AB. Proof of the whole-space cases""; ""C. The bounded case and the bounded space""; ""4. The long proofs (Tutte-Grothendieck method)""; ""A. Proof of the Euclidean case""; ""B. Proof of the projective case""; ""C. Proof of the bounded case""; ""5. A collocation of corollaries""; ""A. The Euler relations proved""; ""B. More counting relations""; ""C. Enumeration in the classical style""; ""D. Unbounded faces""; ""E. Back to Buck: arrangements made simple""; ""F. Winder's Theorem and threshold functions""; ""6 Points and zonotopes"" ; ""A. Placing hyperplanes between points""""B. The faces of zonotopes""; ""PART II. A STUDY OF EUCLIDEAN ARRANGEMENTS WITH PARTICULAR REFERENCE TO BOUNDED FACES""; ""7. The beta theorem. Theorem D""; ""8. The central decomposition. Theorem E""; ""A. Appendix on spanning sets of coatoms""; ""9. The dimension of the bounded space""; ""References""; ""Index of symbols""
• Titolo autorizzato: Facing up to arrangements
• ISBN: 0-8218-9955-4
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910827427103321
• Lo trovi qui: Univ. Federico II
• Serie: Memoirs of the American Mathematical Society ; ; number 154.