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Autore: |
Zaslavsky Thomas
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Titolo: |
Facing up to arrangements : face-count formulas for partitions of space by hyperplanes / / Thomas Zaslavsky
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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.: | 9910788617003321 |
Lo trovi qui: | Univ. Federico II |
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