Facing up to arrangements : face-count formulas for partitions of space by hyperplanes / / Thomas Zaslavsky
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| Autore: |
Zaslavsky Thomas
|
| Titolo: |
Facing up to arrangements : face-count formulas for partitions of space by hyperplanes / / Thomas Zaslavsky
|
| 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 | |
| Soggetto genere / forma: | Electronic books. |
| 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.: | 9910480121803321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; number 154.