| 函数空间中的AP性质(英文) |
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| 引用本文： | 沈荣鑫. 函数空间中的AP性质(英文)[J]. 数学季刊, 2012, 0(3): 447-451 |
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| 作者姓名： | 沈荣鑫 |
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| 作者单位： | Department of Mathematics, Taizhou Teacher’s College;Department of Mathematics, Nanjing University |
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| 基金项目： | Supported by the NNSF of China(10971185);Supported by the China Postdoctoral Science Foundation Funded Project(20090461093, 201003571);Supported by the Jiangsu Planned Projects for Postdoctoral Research Funds(0902064C);Supported by the Taizhou Teachers’ College Research Funds |
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| 摘 要： | In this paper, it is discussed the AP-property of function spaces. We prove that for any compact network α for a space X which is closed under finite unions, (1) if C α (X) is an AP-space and X is paracompact, then X is a Hurewicz space; (2) if C α (X) is an AP-space which has countable tightness, then C α (X) is discretely generated.
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| 关 键 词： | AP-spaces function spaces Hurewics spaces discretely generated spaces |
On AP-property of Function Spaces |
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| SHEN Rong-xin. On AP-property of Function Spaces[J]. Chinese Quarterly Journal of Mathematics, 2012, 0(3): 447-451 |
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| Authors: | SHEN Rong-xin |
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| Affiliation: | SHEN Rong-xin (Department of Mathematics, Taizhou Teacher’s College, Taizhou 225300, China; Department of Math- ematics, Nanjing University, Nanjing 210093, China) |
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