Title:
|
Konvexita (2. část) (Czech) |
Title:
|
Convexity (Part 2) (English) |
Author:
|
Berger, Marcel |
Language:
|
Czech |
Journal:
|
Pokroky matematiky, fyziky a astronomie |
ISSN:
|
0032-2423 |
Volume:
|
38 |
Issue:
|
4 |
Year:
|
1993 |
Pages:
|
202-211 |
. |
Category:
|
math |
. |
MSC:
|
52-01 |
MSC:
|
52-02 |
MSC:
|
52Axx |
idZBL:
|
Zbl 0810.52002 |
idMR:
|
MR1280445 |
Note:
|
Z Amer. Math. Monthly 91 (1990), 650-678, přeložili I. Netuka a J. Veselý. Obrázky podle originálních náčrtů narýsovala A. Šarounová. (Czech) |
Note:
|
From Amer. Math. Monthly 91 (1990), 650-678, translated by I. Netuka a J. Veselý. Pictures redrawn after original drafts by A. Šarounová. (English) |
. |
Date available:
|
2010-12-11T10:48:54Z |
Last updated:
|
2012-08-25 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/138767 |
. |
Related article:
|
http://dml.cz/handle/10338.dmlcz/139564 |
. |
Reference:
|
[1] Atiyah, M. F.: Angular Momentum.Convex Polyhedra and Algebraic Geometry. Proc. Edinburgh Math. Soc. 26 (1983), 121–138. Zbl 0521.58026, MR 0705256 |
Reference:
|
[2] Ball, K.: Cube slicing in ${\mathbb R}^n$.Proceed. A.M.S. 97 (1986), 465–473. MR 0840631 |
Reference:
|
[3] Ball, K.: Logarithmically concave functions and sections of convex sets in ${\mathbb R}^n$.Studia Math. 88 (1988), 69–84. MR 0932007 |
Reference:
|
[4] Ballmann, W., Gromov, M., Schroeder, V.: Manifolds of Negative Curvature.Birkhäuser 1985. MR 0823981 |
Reference:
|
[5] Barany, I., Füredi, Z.: Computing the volume is difficult.Discrete and Computational Geometry 2 (1987), 319–326. MR 0911186 |
Reference:
|
[6] Berger, M.: Geometry I and II.Springer 1987. MR 0882541 |
Reference:
|
[7] Bonnesen, T., Fenchel, W.: Theorie der konvexen Körper.Springer (reprint) 1974. Zbl 0277.52001, MR 0344997 |
Reference:
|
[8] Bourgain, J., Milman, V. D.: New volume ratio properties for convex symmetric bodies in ${\mathbb R}^n$.Inventiones Math. 88 (1987), 319–341. MR 0880954 |
Reference:
|
[9] Brascamp, H. J., Lieb, E. H.: Best constants in Young’s inequality.its converse and its generalization to more than three functions. Advances in Math. 20 (1976), 151–173. Zbl 0339.26020, MR 0412366 |
Reference:
|
[10] Bronsted, A.: An Introduction to Convex Polytopes.Springer 1983. MR 0683612 |
Reference:
|
[11] Burago, J. D., Zalgaller, V. A.: Geometric Inequalities.Springer 1988. Zbl 0633.53002, MR 0936419 |
Reference:
|
[12] Busemann, H.: Convex Surfaces.Interscience 1958. Zbl 0196.55101, MR 0105155 |
Reference:
|
[13] Conway, J. H., Sloane, N. J. A.: Sphere Packings.Lattices and Groups. Springer 1988. Zbl 0634.52002, MR 0920369 |
Reference:
|
[14] Coolidge, J.: Algebraic Plane Curves.Dover 1959. Zbl 0085.36403, MR 0120551 |
Reference:
|
[15] Danzer, L., Grünbaum, B., Klee, V.: Helly’s theorem and its relatives.AMS Proc. Sympos. 7 (1963). |
Reference:
|
[16] Eggleston, H. G.: Convexity.Cambridge University Press 1958. Zbl 0086.15302, MR 0124813 |
Reference:
|
[17] Erdös, P., Gruber, P. M., Hammer, J.: Lattice Points.Pitman Monographs and Surveys in Pure and Applied Mathematics, No. 39, John Wiley 1989. |
Reference:
|
[18] Ellison, W. J.: Waring’s problem.Amer. Math. Monthly 78 (1971), 10–36. Zbl 0278.10046, MR 0414510 |
Reference:
|
[19] Grötschel, M., Lovász, L., Schrijver, A.: Geometric Algorithms and Combinatorial Optimization.Springer 1988. MR 0936633 |
Reference:
|
[20] Gruber, P. M.: Aspects of convexity and its applications.Expositiones Math. 2 (1984), 47–83. Zbl 0525.52001, MR 0783125 |
Reference:
|
[21] Gruber, P. M., Wills, J. M.: Convexity and its Applications.Birkhäuser 1983. Zbl 0512.00020, MR 0731103 |
Reference:
|
[22] Grünbaum, B.: Convex Polytopes.Interscience 1967; U.M.I. Out-of-Print Books on Demand 1989. MR 0226496 |
Reference:
|
[23] Grünbaum, B., Shephard, G. C.: Tilings with Congruent Tiles.Bull. AMS 3 (1980), 951–973. MR 0585178 |
Reference:
|
[24] Grünbaum, B., Shephard, G. C.: Tilings and Patterns.Freeman 1987. MR 0857454 |
Reference:
|
[25] Guillemin, V., Sternberg, S.: Convexity properties of the moment mapping.Inventiones Math. 67 (1982), 491–513. Zbl 0503.58017, MR 0664117 |
Reference:
|
[26] Kiselman, C. O.: Smoothness of vector sums of plane convex sets.Math. Scand. 60 (1987), 239–252. Zbl 0617.52004, MR 0914337 |
Reference:
|
[27] Leichtweiss, K.: Konvexe Mengen.Springer 1980. Zbl 0442.52001, MR 0586235 |
Reference:
|
[28] Milman, V. D., Schechtman, G.: Asymptotic Theory of Finite Dimensional Normed Spaces.Springer Lecture Notes in Math., No 1200, 1986. MR 0856576 |
Reference:
|
[29] Oda, T.: Convex Bodies and Algebraic Geometry.Springer 1988. Zbl 0628.52002, MR 0922894 |
Reference:
|
[30] Rogers, C. A.: Packing and Covering.Cambridge University Press 1964. Zbl 0176.51401, MR 0172183 |
Reference:
|
[31] Shiohama, K.: Topology of complete and non-compact manifolds.In Advanced Studies in Pure Mathematics, No 3: Geometry of Geodesics and Related Topics, Kinokumya and North Holland, 1984. MR 0758662 |
Reference:
|
[32] Stanley, R. P.: Combinatorics and Commutative Algebra.Birkhäuser 1983. Zbl 0537.13009, MR 0725505 |
Reference:
|
[33] Szarek, S. J., Talagrand, M.: An isomorphic version of the Sauer-Shelah lemma and the Banach-Mazur distance to the cube.Preprint IHES, 1988. MR 1008718 |
Reference:
|
[34] Tölke, J., Wills, J. M.: Contributions to Geometry.Birkhäuser 1979. MR 0568511 |
Reference:
|
[35] Valentine, F. A.: Convex Sets.McGraw-Hill 1964. Zbl 0129.37203, MR 0170264 |
Reference:
|
[36] Walker, R. J.: Algebraic Curves.Princeton Univ. Press 1950. Zbl 0039.37701, MR 0033083 |
Reference:
|
[37] Zamfirescu, T.: Nearly all convex bodies are smooth and strictly convex.Monatshefte für Math. 103 (1987), 57–62. Zbl 0607.52002, MR 0875352 |
Reference:
|
[38] Zamfirescu, T.: Curvature properties of typical convex surfaces.Pacific J. Math. 131 (1988), 191–207. Zbl 0637.52005, MR 0917873 |
. |