Some further remarks on good sets

被引:0
|
作者
Navada K.G. [1 ]
机构
[1] Department of Mathematics, Periyar University
关键词
Boundary of a good set; Full component; Full set; Geodesic; Good set; Related component;
D O I
10.1007/s12044-007-0015-z
中图分类号
学科分类号
摘要
We show that in n-fold cartesian product, n ≥ 4, a related component need not be a full component. We also prove that when n ≥ 4, uniform boundedness of lengths of geodesies is not a necessary condition for boundedness of solutions of (1) for bounded function f.
引用
收藏
页码:197 / 203
页数:6
相关论文
共 50 条
  • [1] Some remarks on good sets
    K. Gowri Navada
    Proceedings Mathematical Sciences, 2004, 114 : 389 - 397
  • [2] Some remarks on good sets
    Navada, KG
    PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2004, 114 (04): : 389 - 397
  • [3] LADDER SETS AND REGENERATIVE PHENOMENA - FURTHER REMARKS AND SOME APPLICATIONS
    PRABHU, NU
    SANKHYA-THE INDIAN JOURNAL OF STATISTICS SERIES A, 1976, 38 (APR): : 143 - 152
  • [4] Further remarks on Steinhaus sets
    Adhikari, SD
    Balasubramanian, R
    Thangadurai, R
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 2000, 57 (3-4): : 277 - 281
  • [5] SOME REMARKS ON CLUSTER SETS
    NOSHIRO, K
    JOURNAL D ANALYSE MATHEMATIQUE, 1967, 19 : 283 - &
  • [6] SOME REMARKS ON GOOD COLORATIONS
    WERRA, DD
    JOURNAL OF COMBINATORIAL THEORY SERIES B, 1976, 21 (01) : 57 - 64
  • [7] Die 'Zauberflote' - Further remarks on good and evil
    Bartnig, H
    ACTA MOZARTIANA, 2003, 50 (3-4): : 93 - 103
  • [8] Some remarks on contractive and existence sets
    Ciesielski, Maciej
    Lewicki, Grzegorz
    MONATSHEFTE FUR MATHEMATIK, 2023, 200 (01): : 1 - 21
  • [9] Some Remarks on Spectral Synthesis Sets
    Joseph, J.
    Muraleedharan, T. K.
    UKRAINIAN MATHEMATICAL JOURNAL, 2016, 67 (10) : 1611 - 1617
  • [10] Some Remarks on Spectral Synthesis Sets
    J. Joseph
    T. K. Muraleedharan
    Ukrainian Mathematical Journal, 2016, 67 : 1611 - 1617