Generating Borel measurable mappings with continuous mappings

Wojciech Bielas; Arnold W. Miller; Michal Morayne; Tomasz Stonka

首页> 外文期刊>Topology and its applications >Generating Borel measurable mappings with continuous mappings

【24h】

Generating Borel measurable mappings with continuous mappings

机译：使用连续映射生成Borel可测量映射

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

We prove that the relative rank r(S(X): C(X)) of the semigroup of Borel mappings B(X) from X to X (with the composition of mappings as the semigroup operation) with respect to the semigroup of continuous functions C(X) from X to X is equal to (χ)_1 if X is an uncountable Polish space which either can be retracted to a Cantor subset of X, or contains an arc, or is homeomorphic to its Cartesian square X~2.

机译：我们证明了Borel映射B（X）的半群从X到X的相对等级r（S（X）：C（X））相对于连续半群的相对等级（以映射的组成为半群运算）如果X是不可数的波兰空间，它可以缩回X的Cantor子集，包含弧或与笛卡尔方X〜2同胚，则从X到X的函数C（X）等于（χ）_1。。

著录项

来源
《Topology and its applications》 |2013年第12期|1439-1443|共5页
作者
Wojciech Bielas; Arnold W. Miller; Michal Morayne; Tomasz Stonka;
展开▼
作者单位

Institute of Mathematics. University of Silesia, Bankowa 14,40-007 Katowice, Poland;

University of Wisconsin-Madison, Department of Mathematics. Van Vleck Hall, 480 Lincoln Drive, Madison. WI 53706-1388, USA;

Institute of Mathematics and Computer Science, Wroclaw University of Technology, Wybrzeze Wyspianskiego 27,50-370 Wrociaw, Poland;

Institute of Mathematics. University of Silesia, Bankowa 14,40-007 Katowice, Poland;

展开▼
收录信息
原文格式 PDF
正文语种 eng
中图分类
关键词
Semigroup; Relative rank; Borel measurable mapping; Continuous mapping;

机译：半群相对等级;Borel可测量的映射;连续贴图;

相似文献

外文文献
中文文献
专利

1. On Borel mappings and σ-ideals generated by closed sets [J] . Pol R., Zakrzewski P. Advances in Mathematics . 2012,第2期

机译：关于封闭集生成的Borel映射和σ理想
2. Generating continuous mappings with Lipschitz mappings [J] . Cichon J, Mitchell JD, Morayne M Transactions of the American Mathematical Society . 2007,第5期

机译：使用Lipschitz映射生成连续映射
3. On Continuous Restrictions of Measurable Multilinear Mappings [J] . E. V. Yurova Mathematical notes . 2015,第5a6期

机译：可测多线性映射的连续约束
4. Periodic motions, mapping ordered sequences, and training of dynamic neural networks to generate continuous and discontinuous trajectories [C] . Zegers, P., Sundareshan, . 2000

机译：周期性运动，映射有序序列以及动态神经网络的训练以生成连续和不连续的轨迹
5. Regional Mapping of Species-Level Continuous Foliar Cover: Beyond Categorical Vegetation Mapping [D] . Nawrocki, Timm W. 2020

机译：物种级连续叶面封面的区域映射：超越分类植被映射
6. Regional mapping of species‐level continuous foliar cover: beyond categorical vegetation mapping [O] . Timm W. Nawrocki, Matthew L. Carlson, Jeanne L. D. Osnas, -1

机译：物种水平连续叶覆盖物的区域制图：超越分类植被制图
7. Canonical forms of Borel-measurable mappings Δ: ωω → R [O] . Prömel Hans Jürgen, Voigt Bernd 1985

机译：Borel可测映射的规范形式Δ：ωω→R

Generating Borel measurable mappings with continuous mappings

摘要

著录项

相似文献

相关主题

期刊订阅