| 广义的振幅概念及其应用 |
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| 引用本文： | 张昌斌.广义的振幅概念及其应用[J].赣南师范学院学报,1993(Z1). |
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| 作者姓名： | 张昌斌 |
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| 作者单位： | 湖北郧阳师专 |
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| 摘 要： | 本文将振幅的概念推广到映第一可数空间到度量空间的映射,证明了这类映射的连续点之集必为可数个开集之交,挥广了若干经典的结论。我们还证明了:映第二可数的T_1空间到度量空间的映射的极限存在但不连续的点只有可数个;给出了这一结论在积分论上的应用。
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| 关 键 词： | 第一(二)可数空间 T_1—空间 度量空间 振幅 测度 |
THE CONCEPTION OF GENERALIZED AMPLITUDE AND ITS APPLICATIONS |
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| Zhang Changbin Teachers'''' College,Hubei.THE CONCEPTION OF GENERALIZED AMPLITUDE AND ITS APPLICATIONS[J].Journal of Gannan Teachers' College(Social Science(2)),1993(Z1). |
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| Authors: | Zhang Changbin Teachers' College Hubei |
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| Abstract: | In this paper, we have generalized the conception of oscillation of mapping foom first countable space to metric space, and proved that the continous points of the mapping is the intersection of countable open sets. We have also proved that the set of all points, on which limit exists and noncontinuous , of a mapping from a second countable Tt spare into a metric space, is countable. We summarize some applications in the integral theory. |
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| Keywords: | first ( second ) countable space Ti space metrie space oscillation measure |
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