|
There are asymptotically far fewer polytopes than we thought
Author(s):
Jacob E.
Goodman;
Richard
Pollack
Journal:
Bull. Amer. Math. Soc.
14
(1986),
127-129.
MSC (1980):
Primary 52A25;
Secondary 05A15, 14G30, 51M20
MathSciNet review:
818067
Retrieve article in:
PDF
References |
Similar articles |
Additional information
References:
- 1.
- N. Alon, The number of polytopes, configurations, and real matroids, preprint. MR 859498
- 2.
- J. E. Goodman and R. Pollack, Multidimensional sorting, SIAM J. Comput. 12 (1983), 484-507. MR 707408
- 3.
- J. E. Goodman and R. Pollack, Upper bounds for configurations and polytopes in R, Discrete Comp. Geom. (to appear). MR 861891
- 4.
- B. Grünbaum, Convex polytopes, Interscience-Wiley, London, 1967. MR 226496
- 5.
- V. Klee, The number of vertices of a convex polytope, Canad. J. Math. 16 (1964), 701-720. MR 166682
- 6.
- J. Milnor, On the Betti numbers of real varieties, Proc. Amer. Math. Soc. 15 (1964), 275-280. MR 161339
- 7.
- I. Shemer, Neighborly polytopes, Israel J. Math. 43 (1982), 291-314. MR 693351
Similar Articles:
Retrieve articles in Bulletin of the American Mathematical Society
with MSC
(1980):
52A25, 05A15, 14G30, 51M20
Retrieve articles in all Journals with MSC
(1980):
52A25, 05A15, 14G30, 51M20
Additional Information:
DOI:
10.1090/S0273-0979-1986-15415-7
PII:
S 0273-0979(1986)15415-7
|
