实变函数反例研究(Ⅱ)

Study on the Counterexamples in Function of Real Variable(Ⅱ)

列举了实变函数中的多个反例.这些反例说明,在条件改变之后一些重要结论不再成立.这可增强人们对实变函数内容的深刻认识.文中的测度与积分都不是Lebesgue测度与积分.

Some counterexamples in function of real variable are enumerated. These counterexamples show that some important conclusions would no longer be tenable if the given conditions were changed, and they can deepen people＇s knowledge of function of real variable. All the measures and integrals are not Lebesgue measure and integral in this paper.