From db05c59a8c566ca851d9019f4b32ece2faed2b69 Mon Sep 17 00:00:00 2001 From: CDaut Date: Sun, 16 Oct 2022 00:42:44 +0200 Subject: [PATCH] fixed formula --- chapters/Kegel_und_Ko.tex | 7 ++++--- main.pdf | Bin 314065 -> 314136 bytes 2 files changed, 4 insertions(+), 3 deletions(-) diff --git a/chapters/Kegel_und_Ko.tex b/chapters/Kegel_und_Ko.tex index 46ab2ea..504457e 100644 --- a/chapters/Kegel_und_Ko.tex +++ b/chapters/Kegel_und_Ko.tex @@ -497,8 +497,8 @@ aussehen können. ; \end{tikzpicture} \end{center} - Wir müssen also ein $\varphi$ definieren, sodass $\varphi\circ\Pi_V=g_V$ und - $\varphi\circ\Pi_W=g_W$ gilt und das Diagramm kommutiert.\\ + Wir müssen also ein $\varphi$ definieren, sodass $\Pi_V\circ\varphi=g_V$ und + $\Pi_W\circ\varphi=g_W$ gilt und das Diagramm kommutiert.\\ Definiere dazu $\varphi:T\mapsto P$ als $t\mapsto (g_V(t),g_W(t))$\\ $\implies P$ ist Limes.\\ Da $P$ ein Vektorraum und Limes über dem Pullbackdiagramm ist, ist $P$ Pullback über \cat{K-VR}. @@ -566,4 +566,5 @@ aussehen können. Wobei $V\coprod_X W:=\{(v,w)\in V\times W\}_{/U}$ mit $U=\{(-f_V(x),f_W(x))|x\in X\}$\\ $V\mapsto V\coprod_X W$ ist definiert als $v\mapsto [(v,0)]$ und\\ $\varphi: V\coprod_X W\mapsto T$ ist definiert als $[(v,w)]\mapsto g_V(v)+g_W(w)$ -\end{example} \ No newline at end of file +\end{example} +\subsection{Kern und Kokern} \ No newline at end of file diff --git a/main.pdf b/main.pdf index 58a4e61c53e88895c7739b08fdb8165ff6ddc9db..1a704ba7afc0c69477777c6754e5e105678ca875 100644 GIT binary patch delta 10463 zcmcaORd~iU;Rz~CmI~7^o?_OR=qFX*a8ST}V}S6KWq;~qZiY;CNZNH>{deWLZ4G=Z zZ^9nUue!Tt-L_LqnI&5%UwGqqO=>HvJJ(v}jHrsV{`vo0Estv(HOW4jb69tJ+fU1q z$0COh#Lu36q{xA3t?K3tTG|&Uw4KsWS!|Re+&+O(^R00B_sf|tinRH5ZZrI&I`j9H zvYd>Q>GQ9w*s|2d+H2M1umxtR->U!LOAqmQ_0D)!W}2LZgdlJIjxeQYvmZ=>A2%x<@UAqa_7T$+vw;%`|!cAKi_6-J&UbBHn+jpB*_v#I=wQpoERm-~UC3#~J zpUJ`_O$|p>o#*dUYn!%UNhO1oY>A%TrSgCBTtN;8vmAf_kkFNzro`YQq{z&-$bSLv z!?xxL(n%{AF3ROREH3Q$yv$CKck(Okjk}!_v%kpg{gL>}iuZM!=7AWYm0RW~b4be` z*j~SBsP?GUg64wwBvsF5|``M#E6D(oj#Y_ZPrh#pFGApJp3OAZ~4JyBXRl= zS885LaY<2XVlLP8J!_abHVZPJn80jiU?E^^JR95?t2{`;x~~&{BUidLAzmE zQo^KWQ?WFr8+IpxqAzcp))O_0;pf+%a?_(CLht6DWLm?pZS}0L6KkaJJ6+ndGo#}3 zuLgY^)_+fXGnPz0bMjc$xjDjTZ(cq4p4Vah><*g;KCJn({+nEx^KZ($wa3iwZsGbX zTPngM|LOk2`rkK0jpepTJ6fHevc)%hYI01r)YGdc561sn7OHH)ZPW4WNpNriYiZHF zJ=TAozBqi+pWS}mmpLICJ*9WfPwjY{adi6QS&GUtE`JN;(Of!no3*6Y20`clYa~|% zCb!-4c~>@VLFjsE<;VjL{3)J>hZm+x8%!GSKKOE1?wzV)J)@HcS}$uxuOkJj8=uvK(-OK5^};@-|fv-sj>{@4(o`{>B6 zh>Fym^66iN-hERl_i&nH<`=D{sC81s;$xGh;&-FfCg&11&Gf9&JjAz!McdEo*xsl~ zNo}GbQyzIvc~tUYp~&jGWX<}td$;E8+$eG1tn8`?r<6Vaq@LBK_>`XFFyVDov8%4O=SU!~M}g|Io?l6U8SsYVLmGVpOly zyvWIZq7&nl-sFQHJB)o^dhGm~s3;ZU9NMS0`AYGWKR!u!BidNgQWrA|dmV_4<(0C1 zJn67!X;fd67_+C(g7fZIrx`2ThH-3GvI)2xWw_GTBv&`--K1s4TFv_$E?=HuB)95P z$+H!2Bc)bVnY9VjJ72y0{%(}~qIvy?q8p#qPc&J#wyLQiLv)JLWK)l;>MkGlJBQCp zWED02JFnO{S!f=o{$$S|4OL~VnzkOqu;Pb@!#56cQ@E!gAY63 z?6*?W7awBzRddF@LV;?aLDWm8;+HvQyvwL|}pIW1Y`Ib{lrE+&(z*V}gOO*ya;F+AA`I>*t9~7hUy9 zzVp^L_3hk7ve}oXY;nzc#O$?b;~`O-DVr693_YrsOC3`DTrd9Nl0 z3%Ho1mo{14v-Puz@7=h$A&bLJ<0d)W?oPOQ^-QG9CdF*ipx`4?st=?UG$ht<>WFtV z$`24Zc-L_4+^@aIbKL3|uV~SX;x}~-7uvGXxp}kS;kJ{!n*A4U*e3O zn53n>N6R*BmWT|_J29(0d+`BS}d-(gQmuH`SW%bu)@16QPOSWJA zWmRlHDY!v}i6`a3;nzQ3i2gHnJ{La!+V$60-%hlTiQVs!d|Bq*hd(8oJ^vnG*>*ib zdDEBwn|MSuqAxyDQDxe8KC)$Q@)_g)s}|3)eWp){IKR+g-)w1@6*G2!*!$<|jCWpb z5%z_dWgC9K{%pA@AXWSK(M`Wf!@{}>cdV#iucrN1)Me?j6YE^2ZnI|J(EasktdWUO zR88aBz<7&N?HPSi4(4;iKk&c4+eb4(#H|0+6qlCPvrpceypezX0p?~u*>nE? 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