Re: [Q] integral ? Borel-Lebesgue-Riemann

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Article #14088

#14088

From: FUJITA Hiroshi
Date: Fri, 01 Dec 1995 00:00

30 lines
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$B$3$s$K$A$O(B, $BF#ED!w0&I2Bg3X(B  $B$G$9!#(B

$B$A$g$C$H[#Kf$J=q$-J}$r$7$?$i?'!9$H8m2r$r8F$s$@$h$&$J$N$G(B...

<SHINGO.95Nov30220524@keu04.rtri.or.jp>$B$N5-;v$K$*$$$F(B
shingo@keu04.rtri.or.jp$B$5$s$O=q$-$^$7$?!#(B

>> $B;d$K$O!"(BCantor$B=89g$,(BBorel$B=89g$G$J$$$H$$$&$N$b=i<*$G$7$?!#(B(^^;)

$B$$$d$$$d(B, Cantor$B=89g$O(BBorel$B=89g$G$9$1$I(B, Cantor$B=89g$NItJ,=89g$G(B
Borel$B=89g$G$J$$$b$N$,$"$k$H$$$&OC$G$9$h!#(B

>> $B>e$NOC$7$K$h$l$P!"(BCantor$B=89g>e$G!"(B0$B$G$J$/!"$=$NB>$G(B0$B$H$J$k4X?t$O(B
>> Baire$B4X?t$G$J$$$H$$$&$3$H$G$9$,!"$3$l$OK\Ev$+(B?(^^;)

Cantor$B=89g>e$G$N!V%<%m$G$J$$!WCM$N$H$jJ}$K$b$h$j$^$9$,(B, $BC1$K(BCantor
$B=89g$NDj5A4X?t$r9M$($?$@$1$J$i(B, Baire$B4X?t(B, $B$H$/$KO"B34X?t$N3FE@<}B+(B
$B6K8B$K$J$j$^$9(B. Cantor$B=89g$O$J$K$;JD=89g$G$7$F(B, $B$=$l<+?H$O$"$^$jNc(B
$B30E*$J@-<A$O;}$A$^$;$s(B. 

$B3N$+$K@hF|$N;d$N=q$-J}$G$O(B, $B!V(BCantor$B=89g$NDj5A4X?t$,(BBorel$B2DB,$K$J$i(B
$B$J$$!W$H8@$C$F$$$k$h$&$KFI$^$l$F$b;EJ}$,$"$j$^$;$s$M!#$3$N>l$GD{@5(B
$B$7$F$*$-$^$9!#(B


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$BF#ED(B  $BGn;J(B (FUJITA Hiroshi)
fujita@dpc.ehime-u.ac.jp
$B0&I2Bg3XM}3XIt?t3X2J!Z")(B790 $B>>;3;TJ85~D.(B2-5$B![(B
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X-Google-Language: Japanese,JIS
X-Google-Thread: f4956,c5def2baf5ada0e7
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From: fujita@dpc.ehime-u.ac.jp (FUJITA Hiroshi)
Subject: Re: [Q] integral ? Borel-Lebesgue-Riemann
Date: 1995/12/01
Message-ID: <49llnc$rsc@doc.dpc.ehime-u.ac.jp>
X-Deja-AN: 120511220
references: <49dsbe$e5d@ayame.ipc.chiba-u.ac.jp>
organization: Ehime University, Japan
newsgroups: fj.sci.math

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