Continuous selections and σ-spaces

被引：0
|
作者：
Repovs, Dusan [2 ,3 ]
Tsaban, Boaz [1 ,4 ]
Zdomskyy, Lyubomyr [4 ]
机构：
[1] Bar Ilan Univ, Dept Math, IL-52900 Ramat Gan, Israel
[2] Univ Ljubljana, Inst Math Phys & Mech, Ljubljana 1001, Slovenia
[3] Univ Ljubljana, Fac Educ, Ljubljana 1001, Slovenia
[4] Weizmann Inst Sci, Dept Math, IL-76100 Rehovot, Israel
来源：
TOPOLOGY AND ITS APPLICATIONS | 2008年 / 156卷 / 01期
关键词：
sigma-Space; gamma-Cover; Frechet filter; Multivalued map; Lower semicontinuity; Clopen-valued map; Continuous selection; b-Scale;
D O I：
10.1016/j.topol.2008.03.025
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Assume that X subset of R \ Q, and each clopen-valued lower semicontinuous multivalued map phi : X double right arrow Q has a continuous selection phi : X -> Q. Our main result is that in this case, X is a sigma-space. We also derive a partial converse implication. and present a reformulation of the Scheepers Conjecture in the language of continuous selections. (C) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码：104 / 109
页数：6
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