Characterizations of paracompact-like properties by means of set-valued semi-continuous selections

被引:7
作者
Miyazaki, K [1 ]
机构
[1] Ehime Univ, Fac Sci, Dept Math Sci, Matsuyama, Ehime 7908577, Japan
关键词
hyperspace; selection; semi-continuous;
D O I
10.1090/S0002-9939-01-06204-9
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We give a characterization of countably paracompact and collectionwise normal spaces by means of set-valued semi-continuous selections. This provides a positive answer to a problem of V. Gutev.
引用
收藏
页码:2777 / 2782
页数:6
相关论文
共 16 条
  • [1] Chaber J., 1974, FUND MATH, V84, P107
  • [2] Choban M., 1974, Math. Balk., V4, P457
  • [3] Choban M., 1970, T MOSCOW MATH SOC, V23, P286
  • [4] Coban M. M., 1970, T MOSC MATH SOC, V22, P258
  • [5] Dowker C.H., 1956, Proc. Lond. Math. Soc., V6, P100, DOI 10.1112/plms/s3-6.1.100
  • [6] Engelking R., 1989, General Topology, V2
  • [7] FORT MK, 1949, DUKE MATH J, V16, P237
  • [8] Selections for Vietoris-like hyperspace topologies
    Gutev, V
    Nogura, T
    [J]. PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2000, 80 : 235 - 256
  • [9] Generic extensions of finite-valued u.s.c. selections
    Gutev, V
    [J]. TOPOLOGY AND ITS APPLICATIONS, 2000, 104 (1-3) : 101 - 118
  • [10] GUTEV V, UNPUB SELECTIONS SET