%!PS-Adobe-2.0 %%Creator: dvips(k) 5.95b Copyright 2005 Radical Eye Software %%Title: D:/F/Data1/UNI/INSTITUT/VORLESUN/SS00/UEBUNG05.dvi %%CreationDate: Mon Mar 03 11:58:53 2008 %%Pages: 1 %%PageOrder: Ascend %%BoundingBox: 0 0 595 842 %%DocumentFonts: CMBX12 CMR17 CMR12 CMSY10 CMMI12 %%DocumentPaperSizes: a4 %%EndComments %DVIPSWebPage: (www.radicaleye.com) %DVIPSCommandLine: "C:\Programme\MiKTeX 2.5\miktex\bin\dvips.exe" %+ D:/F/Data1/UNI/INSTITUT/VORLESUN/SS00/UEBUNG05.dvi %DVIPSParameters: dpi=600 %DVIPSSource: TeX output 2008.03.03:1158 %%BeginProcSet: tex.pro 0 0 %! /TeXDict 300 dict def TeXDict begin/N{def}def/B{bind def}N/S{exch}N/X{S N}B/A{dup}B/TR{translate}N/isls false N/vsize 11 72 mul N/hsize 8.5 72 mul N/landplus90{false}def/@rigin{isls{[0 landplus90{1 -1}{-1 1}ifelse 0 0 0]concat}if 72 Resolution div 72 VResolution div neg scale isls{ landplus90{VResolution 72 div vsize mul 0 exch}{Resolution -72 div hsize mul 0}ifelse TR}if Resolution VResolution vsize -72 div 1 add mul TR[ matrix currentmatrix{A A round sub abs 0.00001 lt{round}if}forall round exch round exch]setmatrix}N/@landscape{/isls true N}B/@manualfeed{ statusdict/manualfeed true put}B/@copies{/#copies X}B/FMat[1 0 0 -1 0 0] N/FBB[0 0 0 0]N/nn 0 N/IEn 0 N/ctr 0 N/df-tail{/nn 8 dict N nn begin /FontType 3 N/FontMatrix fntrx N/FontBBox FBB N string/base X array /BitMaps X/BuildChar{CharBuilder}N/Encoding IEn N end A{/foo setfont}2 array copy cvx N load 0 nn put/ctr 0 N[}B/sf 0 N/df{/sf 1 N/fntrx FMat N df-tail}B/dfs{div/sf X/fntrx[sf 0 0 sf neg 0 0]N df-tail}B/E{pop nn A definefont setfont}B/Cw{Cd A length 5 sub get}B/Ch{Cd A length 4 sub get }B/Cx{128 Cd A length 3 sub get sub}B/Cy{Cd A length 2 sub get 127 sub} B/Cdx{Cd A length 1 sub get}B/Ci{Cd A type/stringtype ne{ctr get/ctr ctr 1 add N}if}B/CharBuilder{save 3 1 roll S A/base get 2 index get S /BitMaps get S get/Cd X pop/ctr 0 N Cdx 0 Cx Cy Ch sub Cx Cw add Cy setcachedevice Cw Ch true[1 0 0 -1 -.1 Cx sub Cy .1 sub]{Ci}imagemask restore}B/D{/cc X A type/stringtype ne{]}if nn/base get cc ctr put nn /BitMaps get S ctr S sf 1 ne{A A length 1 sub A 2 index S get sf div put }if put/ctr ctr 1 add N}B/I{cc 1 add D}B/bop{userdict/bop-hook known{ bop-hook}if/SI save N @rigin 0 0 moveto/V matrix currentmatrix A 1 get A mul exch 0 get A mul add .99 lt{/QV}{/RV}ifelse load def pop pop}N/eop{ SI restore userdict/eop-hook known{eop-hook}if showpage}N/@start{ userdict/start-hook known{start-hook}if pop/VResolution X/Resolution X 1000 div/DVImag X/IEn 256 array N 2 string 0 1 255{IEn S A 360 add 36 4 index cvrs cvn put}for pop 65781.76 div/vsize X 65781.76 div/hsize X}N /p{show}N/RMat[1 0 0 -1 0 0]N/BDot 260 string N/Rx 0 N/Ry 0 N/V{}B/RV/v{ /Ry X/Rx X V}B statusdict begin/product where{pop false[(Display)(NeXT) (LaserWriter 16/600)]{A length product length le{A length product exch 0 exch getinterval eq{pop true exit}if}{pop}ifelse}forall}{false}ifelse end{{gsave TR -.1 .1 TR 1 1 scale Rx Ry false RMat{BDot}imagemask grestore}}{{gsave TR -.1 .1 TR Rx Ry scale 1 1 false RMat{BDot} imagemask grestore}}ifelse B/QV{gsave newpath transform round exch round exch itransform moveto Rx 0 rlineto 0 Ry neg rlineto Rx neg 0 rlineto fill grestore}B/a{moveto}B/delta 0 N/tail{A/delta X 0 rmoveto}B/M{S p delta add tail}B/b{S p tail}B/c{-4 M}B/d{-3 M}B/e{-2 M}B/f{-1 M}B/g{0 M} B/h{1 M}B/i{2 M}B/j{3 M}B/k{4 M}B/w{0 rmoveto}B/l{p -4 w}B/m{p -3 w}B/n{ p -2 w}B/o{p -1 w}B/q{p 1 w}B/r{p 2 w}B/s{p 3 w}B/t{p 4 w}B/x{0 S rmoveto}B/y{3 2 roll p a}B/bos{/SS save N}B/eos{SS restore}B end %%EndProcSet %%BeginProcSet: texps.pro 0 0 %! TeXDict begin/rf{findfont dup length 1 add dict begin{1 index/FID ne 2 index/UniqueID ne and{def}{pop pop}ifelse}forall[1 index 0 6 -1 roll exec 0 exch 5 -1 roll VResolution Resolution div mul neg 0 0]/Metrics exch def dict begin Encoding{exch dup type/integertype ne{pop pop 1 sub dup 0 le{pop}{[}ifelse}{FontMatrix 0 get div Metrics 0 get div def} ifelse}forall Metrics/Metrics currentdict end def[2 index currentdict end definefont 3 -1 roll makefont/setfont cvx]cvx def}def/ObliqueSlant{ dup sin S cos div neg}B/SlantFont{4 index mul add}def/ExtendFont{3 -1 roll mul exch}def/ReEncodeFont{CharStrings rcheck{/Encoding false def dup[exch{dup CharStrings exch known not{pop/.notdef/Encoding true def} if}forall Encoding{]exch pop}{cleartomark}ifelse}if/Encoding exch def} def end %%EndProcSet %%BeginFont: CMMI12 %!PS-AdobeFont-1.1: CMMI12 1.100 %%CreationDate: 1996 Jul 27 08:57:55 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI12) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI12 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 39 /phi1 put dup 58 /period put dup 59 /comma put dup 65 /A put dup 102 /f put readonly def /FontBBox{-30 -250 1026 750}readonly def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA0529731C99A784CCBE85B4993B2EEBDE 3B12D472B7CF54651EF21185116A69AB1096ED4BAD2F646635E019B6417CC77B 532F85D811C70D1429A19A5307EF63EB5C5E02C89FC6C20F6D9D89E7D91FE470 B72BEFDA23F5DF76BE05AF4CE93137A219ED8A04A9D7D6FDF37E6B7FCDE0D90B 986423E5960A5D9FBB4C956556E8DF90CBFAEC476FA36FD9A5C8175C9AF513FE D919C2DDD26BDC0D99398B9F4D03D6A8F05B47AF95EF28A9C561DBDC98C47CF5 5250011D19E9366EB6FD153D3A100CAA6212E3D5D93990737F8D326D347B7EDC 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cleartomark %%EndFont %%BeginFont: CMSY10 %!PS-AdobeFont-1.1: CMSY10 1.0 %%CreationDate: 1991 Aug 15 07:20:57 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMSY10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMSY10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 2 /multiply put dup 3 /asteriskmath put dup 33 /arrowright put dup 70 /F put dup 71 /G put dup 72 /H put dup 80 /P put dup 81 /Q put dup 86 /V put dup 102 /braceleft put dup 103 /braceright put readonly def /FontBBox{-29 -960 1116 775}readonly def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMR12 %!PS-AdobeFont-1.1: CMR12 1.0 %%CreationDate: 1991 Aug 20 16:38:05 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR12) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR12 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 25 /germandbls put dup 34 /quotedblright put dup 40 /parenleft put dup 41 /parenright put dup 44 /comma put dup 46 /period put dup 48 /zero put dup 49 /one put dup 50 /two put dup 53 /five put dup 54 /six put dup 58 /colon put dup 61 /equal put dup 65 /A put dup 66 /B put dup 68 /D put dup 69 /E put dup 70 /F put dup 77 /M put dup 80 /P put dup 82 /R put dup 83 /S put dup 84 /T put dup 85 /U put dup 86 /V put dup 90 /Z put dup 92 /quotedblleft put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put dup 122 /z put dup 127 /dieresis put readonly def /FontBBox{-34 -251 988 750}readonly def currentdict end currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMR17 %!PS-AdobeFont-1.1: CMR17 1.0 %%CreationDate: 1991 Aug 20 16:38:24 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. 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cleartomark %%EndFont %%BeginFont: CMBX12 %!PS-AdobeFont-1.1: CMBX12 1.0 %%CreationDate: 1991 Aug 20 16:34:54 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMBX12) readonly def /FamilyName (Computer Modern) readonly def /Weight (Bold) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMBX12 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 46 /period put dup 48 /zero put dup 49 /one put dup 50 /two put dup 53 /five put dup 55 /seven put dup 56 /eight put dup 57 /nine put dup 65 /A put dup 66 /B put dup 68 /D put dup 71 /G put dup 73 /I put dup 77 /M put dup 80 /P put dup 83 /S put dup 84 /T put dup 85 /U put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 127 /dieresis put readonly def /FontBBox{-53 -251 1139 750}readonly def 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%%EndFont TeXDict begin 39139632 55387786 1000 600 600 (D:/F/Data1/UNI/INSTITUT/VORLESUN/SS00/UEBUNG05.dvi) @start /Fa 153[48 36[73 5[27 27 18[64 39[{}5 99.6264 /CMMI12 rf /Fb 152[50 50 15[61 4[81 69 7[84 59 72 36[100 29[50 77 2[{}11 99.6264 /CMSY10 rf /Fc 128[49 4[43 2[70 51 54 38 38 38 1[54 49 54 81 27 51 1[27 54 49 30 43 54 43 54 49 4[49 1[60 3[73 73 70 54 72 1[66 2[89 6[64 66 75 1[69 73 3[76 2[27 3[49 49 2[49 49 49 1[27 1[27 2[38 38 5[49 8[49 25[{}50 99.6264 /CMR12 rf /Fd 128[66 4[58 4[73 51 1[51 2[66 73 4[36 73 66 40 58 73 1[73 66 11[99 9[103 5[90 69[{}18 143.462 /CMR17 rf /Fe 128[56 8[59 62 44 44 46 1[62 56 62 93 31 2[31 62 56 34 51 62 50 62 54 11[86 78 62 2[77 2[106 3[42 1[88 2[86 1[80 85 7[56 56 56 1[56 2[56 56 56 1[31 46[{}38 99.6264 /CMBX12 rf end %%EndProlog %%BeginSetup %%Feature: *Resolution 600dpi TeXDict begin %%PaperSize: A4 end %%EndSetup %%Page: 1 1 TeXDict begin 1 0 bop 115 355 a Fe(Mathematisc)m(hes)39 b(Institut)100 471 y(der)33 b(Univ)m(ersit)742 476 y(\177)743 471 y(at)h(M)984 476 y(\177)981 471 y(unc)m(hen)206 588 y(Prof.)j(Dr.)g(B.)g(P)m(areigis)3104 354 y(SS)h(2000)3124 471 y(Blatt)f(5)413 1084 y Fd(\177)396 1116 y(Ubungen)45 b(zu)f(Einf)1374 1121 y(\177)1370 1116 y(uhrung)g(in)g(die)f (Kategorien)l(theorie)0 1370 y Fe(Aufgab)s(e)49 b(17.)d Fc(Seien)d Fb(F)10 b Fa(;)17 b Fb(G)6 b Fa(;)17 b Fb(H)44 b Fc(:)f Fe(Me)h Fb(!)f Fe(Me)f Fc(die)g(k)m(o)m(v)-5 b(arian)m(ten)43 b(F)-8 b(unktoren)42 b(mit)g Fb(F)10 b Fc(\()p Fa(A)p Fc(\))43 b(=)0 1487 y Fb(f\003g)p Fa(;)17 b Fb(G)6 b Fc(\()p Fa(A)p Fc(\))28 b(=)h Fa(A;)17 b Fb(G)6 b Fc(\()p Fa(f)11 b Fc(\))28 b(=)h Fa(f)5 b(;)17 b Fb(H)q Fc(\()p Fa(A)p Fc(\))29 b(=)f Fa(A)23 b Fb(\002)g Fa(A;)17 b Fb(H)q Fc(\()p Fa(f)11 b Fc(\))29 b(=)f Fa(f)34 b Fb(\002)23 b Fa(f)5 b(:)33 b Fc(Zeigen)h(Sie,)g(da\031)f Fb(F)10 b Fa(;)17 b Fb(G)38 b Fc(und)c Fb(H)0 1603 y Fc(darstellbare)g(F)-8 b(unktoren)33 b(sind.)0 1895 y Fe(Aufgab)s(e)39 b(18.)i Fc(Zeigen)33 b(Sie:)148 2032 y(\(1\))42 b(Der)32 b(k)m(on)m(tra)m(v)-5 b(arian)m(te)34 b(P)m(otenzmengenfunktor)h Fb(Q)28 b Fc(:)g Fe(Me)g Fb(!)f Fe(Me)33 b Fc(ist)g(darstellbar.)148 2148 y(\(2\))42 b(Der)32 b(k)m(o)m(v)-5 b(arian)m(te)34 b(P)m(otenzmengenfunktor)h Fb(P)h Fc(:)28 b Fe(Me)g Fb(!)f Fe(Me)33 b Fc(ist)g(nic)m(h)m(t)h(darstellbar.)0 2441 y Fe(Aufgab)s(e)54 b(19.)49 b Fc(Un)m(tersuc)m(hen)g(Sie,)e(ob)f(die)h (V)-8 b(ergi\031funktoren)47 b Fb(V)59 b Fc(:)51 b Fe(Gr)f Fb(!)h Fe(Me)46 b Fc(b)q(zw.)h Fb(V)59 b Fc(:)0 2557 y Fe(T)-9 b(op)28 b Fb(!)f Fe(Me)33 b Fc(darstellbar)g(sind.)0 2849 y Fe(Aufgab)s(e)42 b(20.)h Fc(Bestimmen)38 b(Sie)e(alle)g(nat)1633 2853 y(\177)1630 2849 y(urlic)m(hen)i(T)-8 b(ransformationen)36 b Fa(')d Fc(:)g Fb(V)41 b(!)33 b(V)44 b Fc(f)3324 2853 y(\177)3321 2849 y(ur)35 b(den)0 2966 y(V)-8 b(ergi\031funktor)28 b Fb(V)36 b Fc(:)27 b Fe(Ab)h Fb(!)f Fe(Me)h Fc(und)g(zeigen)h(Sie,)f (da\031)f Fb(f)p Fa(')g Fc(:)h Fb(V)36 b(!)27 b(V)8 b(g)28 b Fc(=:)g(End)17 b(\()p Fb(V)8 b Fc(\))28 b(einen)g(Ring)0 3082 y(bildet,)i(w)m(ob)s(ei)h(die)f(Multiplik)-5 b(ation)30 b(das)1535 3141 y(")1580 3082 y(Pro)s(dukt)-7 b(\\)37 b(der)30 b(nat)2321 3086 y(\177)2318 3082 y(urlic)m(hen)h(T)-8 b(ransformationen)30 b(ist.)100 5128 y(Abgab)s(e:)i(Dienstag,)h(den)g (06.06.2000)e(11:15)h(Uhr)h(in)g(der)g(V)-8 b(orlesung)p eop end %%Trailer userdict /end-hook known{end-hook}if %%EOF