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11 dict begin
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%!PS-AdobeFont-1.1: CMMI8 1.100
%%CreationDate: 1996 Jul 23 07:53:54
% 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 (CMMI8) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
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/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
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currentdict end
currentfile eexec
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%%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
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/FontBBox{-29 -960 1116 775}readonly def
currentdict end
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cleartomark
%%EndFont 
%%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 58 /period put
dup 59 /comma put
dup 61 /slash put
dup 65 /A put
dup 102 /f put
dup 103 /g put
dup 104 /h put
dup 114 /r put
dup 115 /s put
readonly def
/FontBBox{-30 -250 1026 750}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 11 /ff put
dup 12 /fi put
dup 25 /germandbls put
dup 34 /quotedblright put
dup 40 /parenleft put
dup 41 /parenright put
dup 44 /comma put
dup 45 /hyphen put
dup 46 /period put
dup 48 /zero put
dup 49 /one put
dup 50 /two put
dup 51 /three put
dup 53 /five put
dup 57 /nine put
dup 58 /colon put
dup 61 /equal put
dup 63 /question put
dup 65 /A put
dup 66 /B put
dup 68 /D put
dup 69 /E put
dup 70 /F put
dup 75 /K put
dup 77 /M put
dup 79 /O put
dup 81 /Q put
dup 83 /S put
dup 85 /U put
dup 86 /V put
dup 87 /W 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 106 /j 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 113 /q 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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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. All Rights Reserved) readonly def
/FullName (CMR17) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMR17 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 69 /E put
dup 75 /K put
dup 85 /U put
dup 97 /a put
dup 98 /b 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 110 /n put
dup 111 /o put
dup 114 /r put
dup 116 /t put
dup 117 /u put
dup 122 /z put
dup 127 /dieresis put
readonly def
/FontBBox{-33 -250 945 749}readonly def
currentdict end
currentfile eexec
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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 51 /three put
dup 52 /four put
dup 65 /A put
dup 66 /B put
dup 68 /D put
dup 73 /I put
dup 77 /M put
dup 80 /P put
dup 83 /S 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 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
currentdict end
currentfile eexec
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b Ff(\(1\))41 b(Zeigen)d(Sie,)h(da\031)f(zu)g(jedem)i(Morphism)m(us)g
Fe(f)48 b Fd(2)37 b(C)45 b Ff(die)38 b(Quelle)h(Qu\()p
Fe(f)11 b Ff(\))315 1487 y(und)33 b(das)g(Ziel)f(Zi\()p
Fe(f)11 b Ff(\))32 b(eindeutig)i(b)s(estimm)m(t)g(sind.)148
1603 y(\(2\))42 b(Zeigen)29 b(Sie,)h(da\031)g(f)1016
1607 y(\177)1013 1603 y(ur)f(jedes)h(Ob)5 b(jekt)31 b
Fe(A)d Fd(2)g(C)35 b Ff(der)30 b(Morhism)m(us)i(1)2693
1618 y Fc(A)2779 1603 y Ff(eindeutig)e(b)s(estimm)m(t)315
1719 y(ist.)148 1835 y(\(3\))42 b(Zeigen)32 b(Sie)i(f)814
1839 y(\177)811 1835 y(ur)e Fe(f)5 b(;)17 b(g)t(;)g(h)27
b Fd(2)h(C)6 b Ff(:)347 1952 y(\(a\))41 b(w)m(enn)34
b(\()p Fe(f)11 b(g)t Ff(\))p Fe(h)32 b Ff(de\014niert)i(ist,)f(dann)g
(ist)g(auc)m(h)g Fe(f)11 b Ff(\()p Fe(g)t(h)p Ff(\))31
b(de\014niert,)342 2068 y(\(b\))41 b(w)m(enn)34 b Fe(f)11
b(g)36 b Ff(und)d Fe(g)t(h)f Ff(de\014niert)i(sind,)f(dann)g(ist)g(auc)
m(h)g Fe(f)11 b Ff(\()p Fe(g)t(h)p Ff(\))32 b(de\014niert.)315
2184 y(\(W)-8 b(as)32 b(b)s(edeuted)i(in)f(diesem)h(F)-8
b(alle)33 b(der)g(Ausdruc)m(k)2258 2244 y(")2302 2184
y(de\014niert)-7 b(\\)7 b(?\))100 2300 y(\(V)-8 b(erw)m(enden)44
b(Sie)f(f)843 2304 y(\177)840 2300 y(ur)f(diese)i(Aufgab)s(e)e(den)h
(Begri\013)g(der)f(Kategorie)g Fd(C)49 b Ff(wie)43 b(in)g(De\014nition)
0 2417 y(1.3.\))0 2591 y Fh(Aufgab)s(e)c(2.)i Ff(Sei)33
b Fd(C)h Ff(=)28 b Fb(N)k Ff(und)1115 2834 y Fd(C)6 b
Ff(\()p Fe(r)m(;)17 b(s)p Ff(\))27 b(=)1511 2663 y Fa(\()1591
2767 y Fd(f)p Ff(\()p Fe(r)m(;)17 b(s)p Ff(\))p Fd(g)p
Fe(;)130 b Ff(w)m(enn)34 b Fe(r)s(=s;)1591 2906 y Fd(;)p
Fe(;)387 b Ff(sonst)q Fe(:)0 3082 y Ff(Zeigen)33 b(Sie,)g(da\031)f
Fd(C)39 b Ff(eine)34 b(Kategorie)e(\(i.S.v.)i(1.5\))e(ist.)0
3256 y Fh(Aufgab)s(e)i(3.)39 b Ff(Zeigen)29 b(Sie,)h(da\031)e(die)i(b)s
(eiden)g(De\014nitionen)f(1.3)g(und)g(1.5)f(f)2773 3260
y(\177)2770 3256 y(ur)h(Kategorien)3386 3260 y(\177)3386
3256 y(aqui-)0 3372 y(v)-5 b(alen)m(t)33 b(sind.)0 3547
y Fh(Aufgab)s(e)52 b(4.)c Ff(Eine)e(Kategorie)e Fd(C)51
b Ff(ist)46 b(genau)e(dann)h(ein)h(Monoid,)f(w)m(enn)h(Ob)17
b Fd(C)51 b Ff(aus)45 b(genau)0 3663 y(einem)34 b(Elemen)m(t)g(b)s
(esteh)m(t.)100 5128 y(Abgab)s(e)e(Dienstag,)h(den)g(9.5.2000)f(11:15)f
(Uhr)i(in)g(der)g(V)-8 b(orlesung)p eop end
%%Trailer

userdict /end-hook known{end-hook}if
%%EOF