The Discussion of Singular Function in Real Analysis

Xiao-Min Hu · Journal of Hangzhou Dianzi University · 2006

In this paper,we discuss some important singular function in real analysis.These functions impulse the development of real analysis.We mainly discuss the example which explains that a measurable function compound a measurable function may be a unmeasurable function.We also discuss the rational counting measure and a coherence operator in the compact space.In the last of this paper,we discuss some examples of convergence theorem in real analysis.

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