Article View: fj.sci.math
Article #13942metric spaces without congruent triangles...
From: FUJITA Hiroshi
Date: Mon, 11 Dec 1995 00:00
Date: Mon, 11 Dec 1995 00:00
59 lines
3008 bytes
3008 bytes
$B$U$?$?$S!"$U$8$?!w$($R$a$@$$$,$/!!$G$9!#(B
$BD4;R$K>h$C$F<!$NLdBj!#$A$g$C$HA0CV$-$,D9$$$G$9$1$I!"FI$s$G$/$@$5$$!#(B
***************** $B9gF1$J;03Q7A$N$J$$5wN%6u4V$O(B1$B<!85$+(B? *****************
$B?tD>@~$G$bJ?LL$G$b!"!VF1$8D9$5$N@~J,!W$O$$$/$D$b$"$j$^$9!#$7$+$7!"<!$N$h(B
$B$&$J5wN%6u4V$G$O!"#2E@4V$N5wN%$N?tCM$r$_$?$i!"$=$l$,!V$I$N#2E@4V$N5wN%$G(B
$B$"$k$+!W$r8@$&$3$H$,$G$-$^$9!#(B
$BNc#1!'(BX={1, 1/3, 1/9, ...}$B"@(B{0}, d(x,y)=|x-y|.
$B5wN%4X?t$,$3$N>r7o$rK~$?$9$H$-!">r7o(BC0$B$rK~$?$9$H$$$&$3$H$K$7$^$7$g$&!#<0(B
$B$G=q$/$H!"5wN%(B d $B$K4X$7$F!"(B
$B>r7o(BC0$B!'(B ($B"O(Ba,b)($B"O(Bx,y)[ d(a,b)=d(x,y)>0 $B"*(B {a,b}={x,y} ]
$B$H$$$&$3$H$K$J$k$G$7$g$&$+!#(B
$BCf4VCM$NDjM}$rMQ$$$k$H!"?tD>@~$K!J0LAj$rJQ$($:$K!K$D$/5wN%$O7h$7$F$3$N@-(B
$B<A$r;}$?$J$$$3$H$,$9$0$o$+$j$^$9!#>/$79M$($k$H!"<!$N$3$H$,$o$+$j$^$9!#(B
$B;v<B!'>r7o(BC0$B$r$_$?$95wN%$N$D$/0LAj6u4V$O(B0$B<!856u4V$G$"$k!#(B
$B<!$K!"#2E@4V$N5wN%$N?tCM$+$i#2E@$r3d$j=P$9$3$H$r$"$-$i$a$F!"#3E@$N5wN%4X(B
$B78$+$i#3E@$r$o$j=P$9$3$H$r9M$($^$7$g$&!#$3$l$b?tD>@~$dJ?LL$NIaDL$N5wN%$G(B
$B$OIT2DG=$G$9$,!"?tD>@~$rJ?LL>e$NJ|J*@~$H0LAjE*$KF10l;k$7$F!"J|J*@~>e$N5w(B
$BN%$r9M$($l$P!"#3E@4V$N5wN%4X78$+$i!V$I$N#3E@4V$N5wN%4X78$+!W$r8@$&$3$H$,(B
$B$G$-$^$9!#(B
$BNc#2!'(BX={ (x,y)$B":(BR^2 : y=x^2 }, d=$B%f!<%/%j%C%I<0$NJ?LL5wN%(B
$B5wN%4X?t$,$3$N>r7o$rK~$?$9$H$-!">r7o(BC1$B$rK~$?$9$H$$$&$3$H$K$7$^$7$g$&!#$D(B
$B$^$jAj0[$J$k#3E@(Bx,y,z$B$KBP$7$F=89g(B $B&$(B(x,y,z)={ d(x,y), d(y,z), d(z,x) }$B$r(B
$B9M$($k$H$-!"(B
$B>r7o(BC1$B!'!!(B($B"O(Ba,b,c)($B"O(Bx,y,z)[ $B&$(B(a,b,c) = $B&$(B(x,y,z) $B"*(B {a,b,c}={x,y,z} ]
$B$?$@$7!"$3$3$G(Ba=c$B$H$+!"#3E@$,#2E@0J2<$K!V$D$V$l$F!W$$$k>l9g$O=|30$7$F9M$((B
$B$^$9!#Nc#2$K$_$k$h$&$K!"?tD>@~$K$O0LAj$rJQ$($:$K>r7o(BC1$B$rK~$?$95wN%$,$D$/(B
$B$o$1$G$9!#$=$3$G!%!%!%(B
$BLdBj#1!'J?LL$K$O0LAj$rJQ$($J$$$G>r7o(BC1$B$rK~$?$95wN%$,$D$/$@$m$&$+!#(B
$BLdBj#2!'>r7o(BC1$B$r$_$?$95wN%$N$D$/0LAj6u4V$O9b!9(B1$B<!856u4V$@$m$&$+!#(B
$BM=A[$H$7$F$O!"!VLdBj#2$NEz$($,(BYes$B!"$7$?$,$C$FLdBj#1$NEz$($O(BNo$B!W$G$9!#$J$K(B
$B$+$o$+$C$?$i!"$<$REj9F$7$F$/$@$5$$!#(B
# Mac$B$GJT=8$7$FE>Aw$7$?$1$I(B, PC98$B$K$O!VB0$9$k!W5-9f$b!VA4$F$N(B...$B!W5-9f$b(B
$B$J$$$_$?$$$@(B... $B3'$5$sFI$a$^$9$+(B?
----------------------------------------------------------
$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
----------------------------------------------------------
Technical Details
Message-ID:
<4agk94$19u@doc.dpc.ehime-u.ac.jp>Path:
arc1-ca.pugleaf.net!unknown!not-for-mailShow Full Headers
Complete Article Headers
X-Google-Language: Japanese,JIS X-Google-Thread: f4956,bdc50fff9ba9bcff,start X-Google-Attributes: gidf4956,public From: fujita@dpc.ehime-u.ac.jp (FUJITA Hiroshi) Subject: metric spaces without congruent triangles... Date: 1995/12/11 Message-ID: <4agk94$19u@doc.dpc.ehime-u.ac.jp> X-Deja-AN: 121607533 organization: Ehime University, Japan newsgroups: fj.sci.math