METRIZATION

作品数：9被引量：3H指数：1
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ISO-FLUCS:symmetrization of optofluidic manipulations in quasi-isothermal micro-environments被引量：2
《eLight》2023年第1期105-121,共17页Antonio Minopoli Susan Wagner Elena Erben Weida Liao Iliya D.Stoev Eric Lauga Moritz Kreysing 
funding by the Max Planck Society,the Karlsruhe Institute of Technology;support by the European Research Council,in particular the ERC Starting Grant GHOSTs(Grant No.853619);support by the Volkswagen Foundation(Life!Grant No.92772);the Max Planck Society,Karlsruhe Institute of Technology;the Hector Foundation;funding by the Deutsche Forschungsgemeinschaft(DFG,German Research Foundation)under Germany’s Excellence Strategy-2082/1-390761711;funding from the Engineering and Physical Sciences Research Council(EPSRC studentship).
Recently,it has been demonstrated that thermoviscous flows can be used for a range of fine micromanipulations,such as moving the cytoplasm of cells and developing embryos,intracellular rheology,and femtonewton-range f...
关键词：QUASI environments SYMMETRY 
A trichotomy for a class of equivalence relations
《Science China Mathematics》2012年第12期2621-2630,共10页DING LongYun 
supported by National Natural Science Foundation of China (Grant No.11071129);the Program for New Century Excellent Talents in University (Grant No.09-0477)
Let Xn, n ∈ N be a sequence of non-empty sets, ψn : Xn2 → IR+. We consider the relation E = E((Xn, ψn)n∈N) on ∏n∈N Xn by (x, y) ∈ E((Xn, ψn)n∈N) <=>Σn∈Nψn(x(n), y(n)) < +∞. If E is an equiv- alence relat...
关键词：Borel reducibility equivalence relation METRIZATION 
cs＊-regular Families and Metrization Theorems
《Chinese Quarterly Journal of Mathematics》2009年第4期609-613,共5页LI Ke-dian XU Hua-wei 
Supported by the NNSF of China(10571151,10671173);Supported by the NSF of Fujian Province(2006J0228,2008F5066)
In this paper, we proved that a sequential space has a cs＊-regular cs＊-network （or a cs＊-regular weak base） is metrizable, which generalized related results in [6], [12] and [14].
关键词：cs＊-regular families NETWORK weak base metrizable spaces 
On CWC-Mappings and Metrization Theorem
《Journal of Mathematical Research and Exposition》2008年第3期695-698,共4页LI Ke Dian 
the National Natural Science Foundation of China （No. 10571151）; the Natural Science Foundation of Fujian Province （No. 2006J0228）; the Natural Science Foundation of Education Department of Fujian Province （No. JB04298）.Acknowledgment The author is very grateful to Professor Lin Shou for his help and the referee for his valuable suggestions.
In this paper,applications of CWC-mappings are discussed in metrization theorem, and some new metrization theorems of topological spaces are obtained by Nagata's condition and weakγ-spaces,which generalizes several m...
关键词：g-functions CWC-mappings metrizable spaces Nagata＇s condition. 
Metrization of Topological Spaces with a cs-regular Base被引量：1
《Chinese Quarterly Journal of Mathematics》1998年第3期91-94, ,共4页李克典 石玉强 
.NULL.
In this paper,we introduce the notions of a cs * regular base,a cs * development and the discretely cs * θ expandability for topological spaces and use these notions to give some metrization theorems. That is a gener...
关键词：cs  *  regular base cs  *  development cs  *    θ    expandable metrization Theorem 
m-almost-metrization for APM spaces
《西南师范大学学报（自然科学版）》1995年第4期352-355,共4页刘建军 周忠群 
ｍ－ａｌｍｏｓｔ－ｍｅｔｒｉｚａｔｉｏｎｆｏｒＡＰＭｓｐａｃｅｓＬｉｕＪｉａｎｊｕｎ；ＺｈｏｕＺｈｏｎｇｑｕｎ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＳｏｕｔｈｗｅｓｔＣｈｉｎａＮｏｒｍａｌＵｎｉｖｅｒｓｉ...
关键词：APM空间 m-n乎可度量化 
A Note on Metrization Theorem
《Journal of Mathematical Research and Exposition》1992年第1期153-155,共3页林寿 
Research partly supported by the National Natural Science Foundation of China
In this short note it is shown that there exists a regular and T_1 space with a σ-linearly hereditarily closure-preserving base which is not a metrizable space.
关键词：正则空间 不可度量化 σ-LHCP基 
THE THEORY AND APPLICATIONS OF GENERALIZED H-SPACE
《Applied Mathematics and Mechanics(English Edition)》1991年第11期1083-1090,共8页车素兵 
This paper brings forward the concept of generalized H-spaces which extends the concepts of H-spaces and almost probabilistic metric spaces. In this paper, the uniformity and properties far generalized H-space are con...
关键词：uniform spaces H-SPACES probabilistic metric spaces METRIZATION 
A NOTE ON ISOMETRIC METRIZATION OF PROBABILISTIC METRIC SPACES
《Chinese Science Bulletin》1991年第18期1497-1500,共4页方锦暄 
The metrization of a probabilistic metric space (for short, PM-space )usually implies the metrization of its (ε,λ)-topological structure. Therefore, if a PM-space is metrizable, it only implies that its topological ...
关键词：(generalized) MENGER SPACE SPACE generated by family of pseudo-metrics metric SPACE isometrically isomorphism. 
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