Dependence on ?,T coordinates of separately continuous functions of many variables and its analogs

被引：0

作者：

Mykhaylyuk, Volodymyr ^{[1
,2
]}

机构：

[1] Jan Kochanowski Univ Kielce, Kielce, Poland

[2] Yurii Fedkovych Chernivtsi Natl Univ, Kielce, Ukraine

来源：

TOPOLOGY AND ITS APPLICATIONS | 2023年 / 336卷

关键词：

Separately continuous function; Quasicontinuous function; Dependence on countable many of; coordinates; Compact space;

D O I：

10.1016/j.topol.2023.108625

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce some cardinal functions on the product X1 x & BULL; & BULL; & BULL; x Xn of topological spaces Xk, which are formulated in terms of the type of local finiteness of families of open sets. Using these cardinal functions, we obtain necessary and sufficient conditions that every separately continuous function or strongly separately continuous function f : X1 x & BULL; & BULL; & BULL; x Xn - R depends on R coordinates, where every space Xk is a strongly countably Cech complete space.& COPY; 2023 Elsevier B.V. All rights reserved.

引用

页数：14

共 24 条

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STEPANETS, AI
DOKLADY AKADEMII NAUK SSSR, 1981, 261 (01): : 34 - 38
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王昆扬
数学进展, 1985, (01) : 81 - 84
[24] THEORY OF WEIGHT CLASSES OF DIFFERENTIABLE FUNCTIONS OF MANY VARIABLES AND ITS APPLICATIONS TO BOUNDARY VALUE PROBLEMS FOR ELLIPTIC EQUATIONS
NIKOLSKI.YS
DOKLADY AKADEMII NAUK SSSR, 1965, 162 (03): : 510 - &

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