Convexity (Part 2)

Marcel Berger

Pokroky matematiky, fyziky a astronomie (1993)

  • Volume: 38, Issue: 4, page 202-211
  • ISSN: 0032-2423

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Berger, Marcel. "Konvexita (2. část)." Pokroky matematiky, fyziky a astronomie 38.4 (1993): 202-211. <http://eudml.org/doc/36431>.

@article{Berger1993,
author = {Berger, Marcel},
journal = {Pokroky matematiky, fyziky a astronomie},
keywords = {convex bodies; duality; addition; volume; computational aspects},
language = {cze},
number = {4},
pages = {202-211},
publisher = {Jednota českých matematiků a fyziků Union of Czech Mathematicians and Physicists},
title = {Konvexita (2. část)},
url = {http://eudml.org/doc/36431},
volume = {38},
year = {1993},
}

TY - JOUR
AU - Berger, Marcel
TI - Konvexita (2. část)
JO - Pokroky matematiky, fyziky a astronomie
PY - 1993
PB - Jednota českých matematiků a fyziků Union of Czech Mathematicians and Physicists
VL - 38
IS - 4
SP - 202
EP - 211
LA - cze
KW - convex bodies; duality; addition; volume; computational aspects
UR - http://eudml.org/doc/36431
ER -

References

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  1. Atiyah, M. F., Angular Momentum, Convex Polyhedra and Algebraic Geometry. Proc. Edinburgh Math. Soc. 26 (1983), 121–138. (1983) Zbl0521.58026MR0705256
  2. Ball, K., Cube slicing in n , Proceed. A.M.S. 97 (1986), 465–473. (1986) MR0840631
  3. Ball, K., Logarithmically concave functions and sections of convex sets in n , Studia Math. 88 (1988), 69–84. (1988) MR0932007
  4. Ballmann, W., Gromov, M., Schroeder, V., Manifolds of Negative Curvature, Birkhäuser 1985. (1985) MR0823981
  5. Barany, I., Füredi, Z., Computing the volume is difficult, Discrete and Computational Geometry 2 (1987), 319–326. (1987) MR0911186
  6. Berger, M., Geometry I and II, Springer 1987. (1987) MR0882541
  7. Bonnesen, T., Fenchel, W., Theorie der konvexen Körper, Springer (reprint) 1974. (1974) Zbl0277.52001MR0344997
  8. Bourgain, J., Milman, V. D., New volume ratio properties for convex symmetric bodies in n , Inventiones Math. 88 (1987), 319–341. (1987) MR0880954
  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. (1976) Zbl0339.26020MR0412366
  10. Bronsted, A., An Introduction to Convex Polytopes, Springer 1983. (1983) MR0683612
  11. Burago, J. D., Zalgaller, V. A., Geometric Inequalities, Springer 1988. (1988) Zbl0633.53002MR0936419
  12. Busemann, H., Convex Surfaces, Interscience 1958. (1958) Zbl0196.55101MR0105155
  13. Conway, J. H., Sloane, N. J. A., Sphere Packings, Lattices and Groups. Springer 1988. (1988) Zbl0634.52002MR0920369
  14. Coolidge, J., Algebraic Plane Curves, Dover 1959. (1959) Zbl0085.36403MR0120551
  15. Danzer, L., Grünbaum, B., Klee, V., Helly’s theorem and its relatives, AMS Proc. Sympos. 7 (1963). (1963) 
  16. Eggleston, H. G., Convexity, Cambridge University Press 1958. (1958) Zbl0086.15302MR0124813
  17. Erdös, P., Gruber, P. M., Hammer, J., Lattice Points, Pitman Monographs and Surveys in Pure and Applied Mathematics, No. 39, John Wiley 1989. (1989) 
  18. Ellison, W. J., Waring’s problem, Amer. Math. Monthly 78 (1971), 10–36. (1971) Zbl0278.10046MR0414510
  19. Grötschel, M., Lovász, L., Schrijver, A., Geometric Algorithms and Combinatorial Optimization, Springer 1988. (1988) MR0936633
  20. Gruber, P. M., Aspects of convexity and its applications, Expositiones Math. 2 (1984), 47–83. (1984) Zbl0525.52001MR0783125
  21. Gruber, P. M., Wills, J. M., Convexity and its Applications, Birkhäuser 1983. (1983) Zbl0512.00020MR0731103
  22. Grünbaum, B., Convex Polytopes, Interscience 1967; U.M.I. Out-of-Print Books on Demand 1989. (1967) MR0226496
  23. Grünbaum, B., Shephard, G. C., Tilings with Congruent Tiles, Bull. AMS 3 (1980), 951–973. (1980) MR0585178
  24. Grünbaum, B., Shephard, G. C., Tilings and Patterns, Freeman 1987. (1987) MR0857454
  25. Guillemin, V., Sternberg, S., Convexity properties of the moment mapping, Inventiones Math. 67 (1982), 491–513. (1982) Zbl0503.58017MR0664117
  26. Kiselman, C. O., Smoothness of vector sums of plane convex sets, Math. Scand. 60 (1987), 239–252. (1987) Zbl0617.52004MR0914337
  27. Leichtweiss, K., Konvexe Mengen, Springer 1980. (1980) Zbl0442.52001MR0586235
  28. Milman, V. D., Schechtman, G., Asymptotic Theory of Finite Dimensional Normed Spaces, Springer Lecture Notes in Math., No 1200, 1986. (1200) MR0856576
  29. Oda, T., Convex Bodies and Algebraic Geometry, Springer 1988. (1988) Zbl0628.52002MR0922894
  30. Rogers, C. A., Packing and Covering, Cambridge University Press 1964. (1964) Zbl0176.51401MR0172183
  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. (1984) MR0758662
  32. Stanley, R. P., Combinatorics and Commutative Algebra, Birkhäuser 1983. (1983) Zbl0537.13009MR0725505
  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. (1988) MR1008718
  34. Tölke, J., Wills, J. M., Contributions to Geometry, Birkhäuser 1979. (1979) MR0568511
  35. Valentine, F. A., Convex Sets, McGraw-Hill 1964. (1964) Zbl0129.37203MR0170264
  36. Walker, R. J., Algebraic Curves, Princeton Univ. Press 1950. (1950) Zbl0039.37701MR0033083
  37. Zamfirescu, T., Nearly all convex bodies are smooth and strictly convex, Monatshefte für Math. 103 (1987), 57–62. (1987) Zbl0607.52002MR0875352
  38. Zamfirescu, T., Curvature properties of typical convex surfaces, Pacific J. Math. 131 (1988), 191–207. (1988) Zbl0637.52005MR0917873

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