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.

引用

页码：585 / 594

页数：10