| 函数空间Ck(X)上的T-Tightness和Set-Tightness |
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| 引用本文： | 杨春梅,李祖泉.函数空间Ck(X)上的T-Tightness和Set-Tightness[J].杭州师范大学学报(自然科学版),2011(2):124-126,132. |
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| 作者姓名： | 杨春梅 李祖泉 |
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| 作者单位： | 杭州师范大学理学院; |
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| 摘 要： | 讨论了函数空间Ck(X)在赋予紧开拓扑下的T-tightness和set-tightness性质,利用开k覆盖获得了Ck(X)是T-tightness空间和set-tightness空间的两个对偶定理,将点态收敛拓扑函数空间Cp(X)的相关结论推广到紧开拓扑函数空间Ck(X)上.
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| 关 键 词： | 函数空间 紧开拓扑 T-tightness set-tightness k覆盖 |
T-Tightness and Set-Tightness in Function Space C_k(X) |
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| Authors: | YANG Chun-mei LI Zu-quan |
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| Institution: | YANG Chun-mei,LI Zu-quan(College of Science,Hangzhou Normal University,Hangzhou 310036,China) |
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| Abstract: | This paper discussed the T-tightness and set-tightness properties in function space Ck(X) with compact-open topology obtained two dualities of Ck(X) being T-tightness space and set-tightness space by means of opening k-cover and generalized the related results from point-wise convergence topology space Cp(X) to compact-open topology space Ck(X). |
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| Keywords: | function space compact-open topology T-tightness set-tightness k-cover |
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