Selections that characterize topological completeness

被引：0
|
作者：
vanMill, J
Pelant, J
Pol, R
机构：
[1] VRIJE UNIV AMSTERDAM, FAC WISKUNDE INFORMAT, 1081 HV AMSTERDAM, NETHERLANDS
[2] ACAD SCI CZECH REPUBL, INST MATH, CR-11567 PRAGUE 1, CZECH REPUBLIC
[3] UNIV WARSAW, DEPT MATH, PL-00913 WARSAW 59, POLAND
来源：
FUNDAMENTA MATHEMATICAE | 1996年 / 149卷 / 02期
关键词：
selection; Vietoris topology; completely metrizable;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that the assertions of some fundamental selection theorems for lower-semicontinuous maps with completely metrizable range and metrizable domain actually characterize topological completeness of the target space. We also show that certain natural restrictions on the class of the domains change this situation. The results provide in particular answers to questions asked by Engelking, Heath and Michael [3] and Gutev, Nedev, Pelant and Valov [5].
引用
收藏
页码：127 / 141
页数：15
相关论文
共 50 条
  • [1] Selections and topological convexity
    Gutev, Valentin
    TOPOLOGY AND ITS APPLICATIONS, 2008, 155 (08) : 814 - 823
  • [2] Extreme selections for hyperspaces of topological spaces
    García-Ferreira, S
    Gutev, V
    Nogura, T
    Sanchis, M
    Tomita, A
    TOPOLOGY AND ITS APPLICATIONS, 2002, 122 (1-2) : 157 - 181
  • [3] Continuous selections and purely topological convex structures
    Di Caprio, Debora
    Watson, Stephen
    TOPOLOGY PROCEEDINGS, VOL 29, NO 1, 2005, 2005, 29 (01): : 75 - 103
  • [4] Characterizations of intervals via continuous selections
    Nogura T.
    Shakhmatov D.
    Rendiconti del Circolo Matematico di Palermo, 1997, 46 (2) : 317 - 328
  • [5] Selections and selectors
    Mihaylova, E.
    Nedev, S.
    TOPOLOGY AND ITS APPLICATIONS, 2011, 158 (02) : 134 - 140
  • [6] Selections and suborderability
    Artico, G
    Marconi, U
    Pelant, J
    Rotter, L
    Tkachenko, M
    FUNDAMENTA MATHEMATICAE, 2002, 175 (01) : 1 - 33
  • [7] On the existence of constant selections
    Horvath, CD
    TOPOLOGY AND ITS APPLICATIONS, 2000, 104 (1-3) : 119 - 139
  • [8] On selections and classes of spaces
    Choban, Mitrofan M.
    Mihaylova, Ekaterina P.
    Nedev, Stoyan Y.
    TOPOLOGY AND ITS APPLICATIONS, 2008, 155 (08) : 797 - 804
  • [9] Selections and countable compactness
    Buhagiar, David
    Gutev, Valentin
    MATHEMATICA SLOVACA, 2013, 63 (05) : 1123 - 1140
  • [10] A topology generated by selections
    Gutev, V
    Nogura, T
    TOPOLOGY AND ITS APPLICATIONS, 2005, 153 (5-6) : 900 - 911
12345