CONTINUOUS-SELECTIONS ON CERTAIN SPACES

被引：0
|
作者：
HATTORI, Y
NOGURA, T
机构：
[1] SHIMANE UNIV,FAC SCI,DEPT MATH,MATSUE,SHIMANE 690,JAPAN
[2] EHIME UNIV,FAC SCI,DEPT MATH,MATSUYAMA,EHIME 790,JAPAN
来源：
HOUSTON JOURNAL OF MATHEMATICS | 1995年 / 21卷 / 03期
关键词：
CONTINUOUS SELECTION; VIETORIS TOPOLOGY; HEREDITARILY BAIRE SPACE; HYPERSPACE OF THE RATIONALS; BERNSTEIN SET; CONTINUUM HYPOTHESIS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We shall consider on spaces that have no continuous selections. We shall prove the following. (1) Every regular space admitting a continuous selection is hereditarily Baire. (2) There exists no continuous selection on the subspace of 2(Q) consisting of clopen sets of Q. (3) Assuming the continuum hypothesis there exists a Bernstein set admitting no continuous selection.
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页码：585 / 594
页数：10
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