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Counting the faces of cut-up spaces


Author: Thomas Zaslavsky
Journal: Bull. Amer. Math. Soc. 81 (1975), 916-918
MSC (1970): Primary 05A15, 50B30; Secondary 06A35, 52A25, 57A65, 57C05
MathSciNet review: 0400066
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References [Enhancements On Off] (What's this?)

  • 1. Branko Grünbaum, Convex polytopes, With the cooperation of Victor Klee, M. A. Perles and G. C. Shephard. Pure and Applied Mathematics, Vol. 16, Interscience Publishers John Wiley & Sons, Inc., New York, 1967. MR 0226496
  • 2. Branko Grünbaum, Arrangements and spreads, American Mathematical Society Providence, R.I., 1972. Conference Board of the Mathematical Sciences Regional Conference Series in Mathematics, No. 10. MR 0307027
  • 3. Gian-Carlo Rota, On the foundations of combinatorial theory. I. Theory of Möbius functions, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 2 (1964), 340–368 (1964). MR 0174487
  • 4. Gian-Carlo Rota, On the combinatorics of the Euler characteristic, Studies in Pure Mathematics (Presented to Richard Rado), Academic Press, London, 1971, pp. 221–233. MR 0282892
  • 5. Thomas Zaslavsky, Facing up to arrangements: face-count formulas for partitions of space by hyperplanes, Mem. Amer. Math. Soc. 1 (1975), no. issue 1, 154, vii+102. MR 0357135
  • 6. Thomas Zaslavsky, A combinatorial analysis of topological dissections, Advances in Math. 25 (1977), no. 3, 267–285. MR 0446994

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DOI: http://dx.doi.org/10.1090/S0002-9904-1975-13885-7