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

页码：104 / 109

页数：6

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