Ultrafilter-completeness on zero-sets of uniformly continuous functions

Chekeev Asylbek A.; Kasymova Tumar J.

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Ultrafilter-completeness on zero-sets of uniformly continuous functions

机译：一致连续函数零集的超滤完备性

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The various types of ultrafilter-completeness on zero-sets of uniformly continuous functions are introduced, their properties are studied and characterizations in the category ZUnif are given. (C) 2018 Published by Elsevier B.V.

机译：介绍了一致连续函数零集上的各种类型的超滤器完备性，研究了它们的性质，并给出了ZUnif类中的表征。（C）2018由Elsevier B.V.发布

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《Topology and its applications》 |2019年第1期|27-41|共15页
作者
Chekeev Asylbek A.; Kasymova Tumar J.;
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作者单位

Kyrgyz Natl Univ, Math Informat & Cybernet Fac, Bishkek 720033, Kyrgyzstan|Kyrgyz Turkish Manas Univ, Fac Sci, Bishkek 720038, Kyrgyzstan;

Kyrgyz Natl Univ, Math Informat & Cybernet Fac, Bishkek 720033, Kyrgyzstan;

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正文语种 eng
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关键词
Uniformity; u-cozero-set; u-zero-set; Normal base; beta-like compactification; Wallman compactification; Wallman realcompactification; coz-mapping; coz-fine space;

机译：均匀性;u-零集;u-零集;正态基;β型紧实;Wallman紧致;Wallman实紧致;coz映射;coz精细空间;

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专利

1. Zero-set ultrafilters and Gδ-closures in uniform spaces [J] . Howard Curzer Journal of the Australian Mathematical Society . 2009,第2期

机译：零位超滤器和均匀空间中的Gδ闭包
2. Uniform continuity of continuous functions on uniform spaces [J] . Masahiko Atsuji Canadian Journal of Mathematics . 1961,第1961期

机译：连续函数在一致空间上的一致连续性
3. THE ZERO-SETS OF THE RADIAL-LIMIT FUNCTIONS OF INNER FUNCTIONS [J] . Belna CL., Colwell P., Piranian G., Transactions of the American Mathematical Society . 1995,第9期

机译：内部函数的径向极限函数的零集
4. Conditions for uniformly convergence of expansions of continuous functions from Nikolskii classes in eigenfunction expansions of the Schr?dinger operator on closed domain [C] . Nur Amalina Binti Jamaludin, Anvarjon Ahmedov International Conference on Analysis and Applied Mathematics . 2014

机译：在闭合域的特征函数扩展中均匀函数均匀函数扩展的条件
5. Order of uniform approximation to analytic functions by rational trigonometric and weighted rational functions. [D] . Simmons, Richard D. 1989

机译：有理三角函数和加权有理函数对解析函数的均匀近似阶数。
6. Design and Operation of a Continuous 13C and 15N Labeling Chamber for Uniform or Differential Metabolic and Structural Plant Isotope Labeling [O] . Jennifer L Soong, Dan Reuss, Colin Pinney, 2014

机译：连续的13C和15N标记室的设计和操作用于均匀或差异代谢和结构化植物同位素标记
7. Projections of zero-sets (and the fine uniformity on a product) [O] . Anthony W. Hager 1969

机译：零集的投影（以及产品上的精细均匀性）

Ultrafilter-completeness on zero-sets of uniformly continuous functions

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