On monotone normality of function spaces

被引：0
|
作者：
Yashchenko, I.V.
机构：
来源：
Vestnik Moskovskogo Universiteta. Ser. 1 Matematika Mekhanika | 1994年 / 03期
关键词：
Mathematical techniques - Set theory - Theorem proving;
D O I：
暂无
中图分类号：
O144 [集合论]; O157 [组合数学（组合学）];
学科分类号：
070104 ;
摘要：
For Tikhonov topological space X a theorem is proved on monotonic normality of an element of canonical base Cp(X). In accord with the theorem the following conditions are equivalent: (1)X is counting one, (2)Cp(X) has counting base, (3)CP(X) is a lace space, (4)Cp(x) is monotonically normal one.
引用
收藏
页码：95 / 96
相关论文
共 50 条
  • [1] ON MONOTONE NORMALITY OF FUNCTION-SPACES
    YASCENKO, IV
    VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 1994, (03): : 95 - 96
  • [2] Monotone normality in generalized topological spaces
    Sun, W. H.
    Wu, J. C.
    Zhang, X.
    ACTA MATHEMATICA HUNGARICA, 2017, 153 (02) : 408 - 416
  • [3] Monotone normality in generalized topological spaces
    W. H. Sun
    J. C. Wu
    X. Zhang
    Acta Mathematica Hungarica, 2017, 153 : 408 - 416
  • [4] ON NORMALITY IN FUNCTION-SPACES
    VELICHKO, NV
    MATHEMATICAL NOTES, 1994, 56 (5-6) : 1116 - 1124
  • [5] THE CARDINAL cov(N), D-SPACES AND MONOTONE NORMALITY
    Zhang, Hang
    Zhang, Shuguo
    HOUSTON JOURNAL OF MATHEMATICS, 2014, 40 (04): : 1357 - 1369
  • [6] MONOTONE NORMALITY
    BALOGH, Z
    RUDIN, ME
    TOPOLOGY AND ITS APPLICATIONS, 1992, 47 (02) : 115 - 127
  • [7] MONOTONE NORMALITY
    HEATH, RW
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 20 (01): : A186 - A186
  • [8] Monotone normality
    Collins, P. J.
    TOPOLOGY AND ITS APPLICATIONS, 1996, 74 (1-3) : 179 - 198
  • [9] NORMALITY AND COLLECTION-WISE NORMALITY OF FUNCTION-SPACES
    REZNICHENKO, EA
    VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 1990, (06): : 56 - 58
  • [10] NOTE ON MONOTONE NORMALITY
    POPE, JW
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 19 (02): : A378 - A378
12345