Remarks on a translative formula for sets of positive reach

被引:4
|
作者
Rataj, J [1 ]
机构
[1] CHARLES UNIV,MATEMAT USTAV,PRAGUE 18600 8,CZECH REPUBLIC
关键词
principal kinematic formula; translative integral geometry; set of positive reach; differentiable extension; fractal set;
D O I
10.1023/A:1004912401199
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
An example of a pair of sets of positive reach is presented, violating a condition assuring the intersection of these sets to have positive reach for almost all translations of one of these sets. The same condition ensures the validity of a translative formula proved recently in Geom. Dedicata 57 (1995), 259-283.
引用
收藏
页码:59 / 62
页数:4
相关论文
共 50 条
  • [41] REMARKS ON PARAMETERS OF A SYSTEM OF SETS
    GRAVER, JE
    ANNALS OF THE NEW YORK ACADEMY OF SCIENCES, 1970, 175 (01) : 187 - &
  • [42] Two remarks on independent sets
    Graebe, Hans-Gert
    1600, (02):
  • [43] REMARKS ON MEASURABLE SETS AND FUNCTIONS
    DAVIES, RO
    JOURNAL OF RESEARCH OF THE NATIONAL BUREAU OF STANDARDS SECTION B-MATHEMATICAL SCIENCES, 1966, B 70 (01): : 83 - +
  • [44] SOME REMARKS ON CLUSTER SETS
    NOSHIRO, K
    JOURNAL D ANALYSE MATHEMATIQUE, 1967, 19 : 283 - &
  • [45] Some remarks on good sets
    K. Gowri Navada
    Proceedings Mathematical Sciences, 2004, 114 : 389 - 397
  • [46] Some remarks on good sets
    Navada, KG
    PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2004, 114 (04): : 389 - 397
  • [47] Further remarks on Steinhaus sets
    Adhikari, SD
    Balasubramanian, R
    Thangadurai, R
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 2000, 57 (3-4): : 277 - 281
  • [48] 2 REMARKS ON INDEPENDENT SETS
    GRABE, HG
    JOURNAL OF ALGEBRAIC COMBINATORICS, 1993, 2 (02) : 137 - 145
  • [49] REMARKS ON CUT-SETS
    GROSSMAN, JW
    JOURNAL OF RESEARCH OF THE NATIONAL BUREAU OF STANDARDS SECTION B-MATHEMATICAL SCIENCES, 1967, B 71 (04): : 183 - +
  • [50] Remarks on small sets of reals
    Bartoszynski, T
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, 131 (02) : 625 - 630