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

共 50 条

[41] Dense Families of Selections and Finite-Dimensional Spaces
Valentin Gutev
Vesko Valov
Set-Valued Analysis, 2003, 11 : 373 - 391
[42] Dense families of selections and finite-dimensional spaces
Gutev, V
Valov, V
SET-VALUED ANALYSIS, 2003, 11 (04): : 373 - 391
[43] Local Approximation Properties of Sets and Continuous Selections on Them
Tsar'kov, I. G.
MATHEMATICAL NOTES, 2019, 106 (5-6) : 994 - 1007
[44] Local Approximation Properties of Sets and Continuous Selections on Them
I. G. Tsar’kov
Mathematical Notes, 2019, 106 : 994 - 1007
[45] Weak Chebyshev subspaces and continuous selections for parametric projections
Mabizela, S
CONSTRUCTIVE APPROXIMATION, 1998, 14 (02) : 301 - 310
[46] Continuous Selections and Fixed Points forφ-maps with Their Applications to Section Problems
Piao Yong-jie
Communications in Mathematical Research, 2012, 28 (03) : 225 - 234
[47] Continuous selections for multivalued mappings with closed convex images and applications
Li, HX
Huang, FL
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 252 (01) : 402 - 409
[48] CERTAIN L-SPACES UNDER CH
SOUKUP, L
TOPOLOGY AND ITS APPLICATIONS, 1992, 47 (01) : 1 - 7
[49] Continuous selections of solution sets of lipschitzian quantum stochastic differential inclusions
Ayoola, EO
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2004, 43 (10) : 2041 - 2059
[50] ON CONTINUOUS SELECTIONS OF FINITE-VALUED SET-VALUED MAPPINGS
Zhukovskiy, S. E.
EURASIAN MATHEMATICAL JOURNAL, 2018, 9 (01): : 83 - 87

← 1 2 3 4 5 →