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Fh(ist.)280 3773 y(\(b\))48 b(Sei)24 b(1)f(ein)g(Endob)5 b(jekt)26 b(in)d Ff(C)6 b Fh(.)24 b(Zeigen)f(Sie,)g(dass)i(es)f(\(nat) 2477 3777 y(\177)2474 3773 y(urlic)m(he\))f(Isomorphismen)g(1)t Ff(\002)t Fg(A)3722 3746 y Ff(\030)3723 3778 y Fh(=)3827 3773 y Fg(A)458 3894 y Fh(und)34 b Fg(A)22 b Ff(\002)g Fh(1)925 3866 y Ff(\030)926 3898 y Fh(=)1030 3894 y Fg(A)33 b Fh(gibt)e(\(nat)1518 3898 y(\177)1515 3894 y(urlic)m(h)h(in)g Fg(A)p Fh(\).)70 4097 y(35.)49 b(Sei)32 b(\()p Fg(M)533 4112 y Fd(i)562 4097 y Ff(j)p Fg(i)27 b Ff(2)h Fg(I)8 b Fh(\))33 b(eine)f(F)-8 b(amilie)29 b(v)m(on)k(Mengen.)h(Zeigen)e (Sie,)g(dass)1107 4240 y Fb(Y)1117 4451 y Fd(i)p Fc(2)p Fd(I)1251 4335 y Fg(M)1345 4350 y Fd(i)1401 4335 y Fh(:=)c Ff(f)p Fg(\013)g Fh(:)g Fg(I)35 b Ff(\000)-59 b(!)1950 4240 y Fb([)1952 4451 y Fd(i)p Fc(2)p Fd(I)2077 4335 y Fg(M)2171 4350 y Fd(i)2200 4335 y Ff(j8)p Fg(i)28 b Ff(2)g Fg(I)35 b Fh(:)28 b Fg(\013)q Fh(\()p Fg(i)p Fh(\))g Ff(2)g Fg(M)2959 4350 y Fd(i)2987 4335 y Ff(g)244 4648 y Fh(zusammen)39 b(mit)f(den)j(Abbildungen)e Fg(p)1739 4663 y Fd(j)1815 4648 y Fh(:)1882 4573 y Fb(Q)1976 4677 y Fd(i)p Fc(2)p Fd(I)2103 4648 y Fg(M)2197 4663 y Fd(i)2266 4648 y Ff(\000)-60 b(!)39 b Fg(M)2516 4663 y Fd(j)2593 4648 y Fh(mit)f Fg(p)2828 4663 y Fd(j)2864 4648 y Fh(\()p Fg(\013)q Fh(\))i(=)f Fg(\013)q Fh(\()p Fg(j)6 b Fh(\))39 b(ein)g(Pro)s(dukt)244 4769 y(\(gem)456 4773 y(\177)456 4769 y(a\031)31 b(De\014nition)g(2.7.8\))h(in)g(der)h(Kategorie)e(der)i (Mengen)h(ist.)70 4972 y(36.)49 b(Seien)31 b Fg(K)k Fh(:=)28 b Fa(Q)11 b Fh(\()p Fg(i)p Fh(\))38 b(und)31 b Fg(L)d Fh(:=)g Fa(Q)11 b Fh(\()1491 4890 y Ff(p)p 1580 4890 49 4 v 1580 4972 a Fh(2\))31 b(zw)m(ei)h(K)1987 4976 y(\177)1987 4972 y(orp)s(er)f(in)f(der)i(Kategorie)e(der)i(K)3208 4976 y(\177)3208 4972 y(orp)s(er)f Fj(Fi)p Fh(.)g(Zeigen)244 5092 y(Sie,)h(dass)i(es)f(ein)f(Pro)s(dukt)h(v)m(on)g Fg(K)40 b Fh(und)33 b Fg(L)g Fh(in)f Fj(Fi)g Fh(gibt.)0 5321 y(Abgab)s(e:)h(F)-8 b(reitag,)31 b(25.6.2004,)g(15)h(Uhr,)h(in)f (der)h(V)-8 b(orlesung.)0 5441 y(Bitte)32 b(geb)s(en)h(Sie)f(auf)g (Ihrer)i(L)1152 5445 y(\177)1152 5441 y(osung)e(Ihren)i(Namen)e(an.)p eop %%Trailer end userdict /end-hook known{end-hook}if %%EOF