| 用g-函数刻画度量化的几个问题 |
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| 引用本文： | 高智民.用g-函数刻画度量化的几个问题[J].深圳大学学报(理工版),2003,20(3):1-6. |
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| 作者姓名： | 高智民 |
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| 作者单位： | 深圳大学理学院 深圳 |
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| 基金项目： | 国家自然科学基金资助项目(10271026) |
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| 摘 要： | 利用g-函数刻画度量空间和广义度量空间是一个有趣的研究热点.作者回答了Nagata提出的一个问题,并讨论下降g-函数的若干性质.
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| 关 键 词： | 度量化 分层空间 g-函数 |
Some Problems of Metrizability Characterized in terms of g-Functions |
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| GAO Zhi-min College of Science Shenzhen University Shenzhen,P. R. China.Some Problems of Metrizability Characterized in terms of g-Functions[J].Journal of Shenzhen University(Science &engineering),2003,20(3):1-6. |
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| Authors: | GAO Zhi-min College of Science Shenzhen University Shenzhen P R China |
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| Affiliation: | GAO Zhi-min College of Science Shenzhen University Shenzhen 518060
P. R. China |
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| Abstract: | It is an interesting topic to characterize metric spaces and generalized metric spaces in terms of g-functions. In the present paper, we shall consider some problems raised by Nagata, and discuss some properties of the decreasing g-functions. |
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| Keywords: | metrizability stratifiable spaces g-functions |
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