Dense Families of Selections and Finite-Dimensional Spaces

被引：0
作者：
Valentin Gutev
Vesko Valov
机构：
[1] University of Natal,School of Mathematical and Statistical Sciences, Faculty of Science
[2] Nipissing University,Department of Computer Science and Mathematics
来源：
Set-Valued Analysis | 2003年 / 11卷
关键词：
continuous selection; finite-dimensional space; strongly countable-dimensional space; -set;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A characterization of n-dimensional spaces via continuous selections avoiding Zn-sets is given, and a selection theorem for strongly countable-dimensional spaces is established. We apply these results to prove a generalized Ostrand's theorem, and to obtain a new alternative proof of the Hurewicz formula. It is also shown that our selection theorem yields an easy proof of a Michael's result.
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页码：373 / 391
页数：18
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