江泽坚的实变函数答案new

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1、⋆<1U-FunctionofRealVariable:0Hq}mbZs410081mlingxiong@163.commlx0520@sohu.com2005-11
}>5`Xb1§1.1℄^wÆ..................................1§1.2℄Y...................................4§1.3℄.....................................5§1.4/Y℄............

2、......................7(3.........................................8>Fn%tgE<`12§2.1
U{Bolzano−Weierstrass...........12§2.2℄R℄%℄..............................13§2.3V)℄R℄%℄7{.......................15§2.4℄i..................................16(3..

3、.......................................18>6Cx~19§3.1$b......................................19§3.2b℄.....................................20§3.3℄b..................................22>r6T24§4.1bF℄^j........................242E13§4.2Egoroff...

4、...............................29§4.3bFy7Lusin.........................29§4.4Wb~'...................................30(3.........................................31>*^x~32§5.1#)F[$................................33§5.2[F...............................

5、......37§5.3Fubini...................................42§5.4&$l[$................................44(3.........................................45*1...........................................474p'050?6AaY℄zvWF4fTC℄$1RF%(~}l*℄4Ysw~T}l*℄℄

6、wÆ℄Y℄
e℄$zl[

7、℄i<4Y^7{E℄T$z
[YC℄wÆv9fjzv$1fHV+F:<4T(V+℄℄<4Y~}l*℄+j:
6:,ob29℄^YzT(/℄Y<X

8、2℄np#(℄imX

9、!dBernsteinnp#(/mUY!dCC("f/℄[℄da

10、℄)~

11、)"
3vr*C!#ob+2℄[$℄
℄

12、§1.1`Xb=1-1-1(B−A)∪A=BmTo

13、A⊂B.ST8a{vjA(B℄_A⊂B.m$fA⊂B^B−A⊂BY(B−A)∪A⊂B.if(B−A)∪A⊃Bj#j

14、Æ1-1-2CA−B=A∩B.CC∀x∈A−B_x∈AWx∈B[_x∈AWx∈Bj

15、x∈A∩B.yx∈A∩BCC_x∈AWx∈B.[_x∈AWx∈BV

16、x∈A−B.j1V~℄^Y2Æ1-1-34(3)(4)6y
9.TT4(3)∀x∈Bλ

17、∃λ0∈Λ,s.t.x

18、∈Bλ0yx∈Aλ0agx∈Aλ.λ∈Λλ∈Λ
XH8aj#ÆÆS4(4)∀x∈(Aλ∪Bλ)S{zλ0∈Λ,xx∈Aλ0∪Bλ0.fx∈Aλ0λ∈ΛSSSSagx∈(Aλ)∪(Bλ)fx∈Bλ0aUgx∈(Aλ)∪(Bλ)..Vλ∈Λλ∈Λλ∈Λλ∈ΛSSSSS!>∀x∈(Aλ)∪(Bλ)

19、x∈