Hausdorff continuous interval-valued functions and quasicontinuous functions

Dǎne? N.

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Hausdorff continuous interval-valued functions and quasicontinuous functions

机译：Hausdorff连续区间值函数和拟连续函数

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In the paper it is shown that every Hausdorff continuous interval-valued function corresponds uniquely to an equivalence class of quasicontinuous functions. This one-to-one correspondence is used to construct the Dedekind order completion of C(X), the set of all real-valued continuous functions, when X is a compact Hausdorff topological space or a complete metric space.

机译：在本文中表明，每个Hausdorff连续区间值函数都唯一对应于一个等价的拟连续函数类。当X是紧凑的Hausdorff拓扑空间或完整的度量空间时，此一一对应关系用于构造C（X）的Dedekind阶完成，C（X）是所有实值连续函数的集合。

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来源
《Positivity》 |2010年第4期|共9页
作者
Dǎne? N.;
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正文语种 eng
中图分类数学;
关键词
Dedekind order completion; Hausdorff continuous interval-valued functions; Lower (upper) semicontinuous functions; Quasicontinuous functions;

机译：Dedekind阶完成;Hausdorff连续区间值函数;下（上）半连续函数;拟连续函数;

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专利

1. Hausdorff continuous interval-valued functions and quasicontinuous functions [J] . Nicolae Dăneţ Positivity . 2010,第4期

机译：Hausdorff连续区间值函数和拟连续函数
2. Graph Quasicontinuous Functions and Densely Continuous Forms [J] . Lubica Hola, Dusan Holy International Journal of Analysis and Applications . 2017,第2期

机译：图拟连续函数和密集连续形式
3. Quasicontinuous and separately continuous functions with values in Maslyuchenko spaces [J] . Banakh Taras Topology and its applications . 2017,第octa1期

机译：具有Maslyuchenko空间中的值的拟连续函数和分别连续的函数
4. Hausdorff dimension of continuous functions with at most finite UV points on closed intervals [C] . Xiao Er Wu, Yong Shun Liang, Wei Xiao, Chinese Control and Decision Conference . 2017

机译：封闭函数上最多具有有限UV点的连续函数的Hausdorff维数
5. Quasicontinuous functions on the unit circle and Toeplitz operators in symmetric normed ideals. [D] . Orenstein, Adam Seth. 2016

机译：对称范理想中单位圆上的准连续函数和Toeplitz算子。
6. Approximation of functions in the generalized Zygmund class using Hausdorff means [O] . Mradul Veer Singh, ML Mittal, BE Rhoades -1

机译：使用Hausdorff均值的广义Zygmund类中的函数逼近
7. Quasicontinuous and separately continuous functions with values in Maslyuchenko spaces [O] . Banakh, Taras 2016

机译：具有值的准连续和单独连续函数 maslyuchenko空间

Hausdorff continuous interval-valued functions and quasicontinuous functions

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