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



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Autore: Zaslavsky Thomas Visualizza persona
Titolo: Facing up to arrangements : face-count formulas for partitions of space by hyperplanes / / Thomas Zaslavsky Visualizza cluster
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  Visualizza cluster
ISBN: 0-8218-9955-4
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910827427103321
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Serie: Memoirs of the American Mathematical Society ; ; number 154.