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《Journal of Hexi University》 2010-05
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On the Completion of the Riemann Product Function Space

Li Zhongning(Department of Mathematics,Yinchuan University,Yinchuan 750105)  
Completeness is an important property in the metric space.In this paper,the essential difference between R [a, b] integration and L [a, b] integration is discussed with the method of point set-analysis and related defines and theories in Real Function.The difference is that R [a, b] as the subspace of L [a, b] is incomplete and L [a, b] is complete.It also proves that R [a, b] is dense in L [a, b].Finally,it obtains that L [a, b] is the completion space of R [a, b].
【CateGory Index】: O174.1
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