Kleine Fehler

cozyberry · Feb 18, 2014 · e4cefe4 · e4cefe4
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diff --git a/documents/GeoTopo/GeoTopo.pdf b/documents/GeoTopo/GeoTopo.pdf
diff --git a/documents/GeoTopo/Kapitel2.tex b/documents/GeoTopo/Kapitel2.tex
@@ -93,7 +93,7 @@ \section{Topologische Mannigfaltigkeiten}
 
               Karten: \\
               $D_i := \{(x_1, \dots, x_{n+1}) \in S^n | x_i > 0\} \rightarrow \fB_1 (\underbrace{0, \dots, 0}_{\in \mdr^n})$\\
-              $C_i := \{(x_1, \dots, x_{n+1}) \in S^n | x_i < 0\}$\\
+              $C_i := \{(x_1, \dots, x_{n+1}) \in S^n | x_i < 0\} \rightarrow \fB_1 (0, \dots, 0)$\\
               $(x_1, \dots, x_{n+1}) \mapsto (x_1, \dots, \cancel{x_i}, \dots, x_{n+1})$\footnote{$x_i$ wird rausgenommen}\\
               $(x_1, \dots, x_{n}) \mapsto (x_1, \dots, x_{i-1}, \sqrt{1-\sum_{k=1}^n x_k^2}, x_i, \dots, x_n)$, oder $-\sqrt{1-\sum_{k=1}^n x_k^2}$ für $C_i$\\
               $S^n = \bigcup_{i=1}^{n+1} (C_i \cup D_i)$

diff --git a/documents/GeoTopo/Kapitel5.tex b/documents/GeoTopo/Kapitel5.tex
@@ -157,7 +157,7 @@ \section{Tangentialebene}\index{Tangentialebene|(}
     (d.~h. $s \in V$)
     \[(u,v) \mapsto (x(u,v), y(u,v), z(u,v))\]
     Für $p=F^{-1}(s) \in U$ sei
-    \[        J_F(u,v) = \begin{pmatrix}
+    \[        J_F(p) = \begin{pmatrix}
             \frac{\partial x}{\partial u} (p) & \frac{\partial x}{\partial v} (p)\\
             \frac{\partial y}{\partial u} (p) & \frac{\partial y}{\partial v} (p)\\
             \frac{\partial z}{\partial u} (p) & \frac{\partial z}{\partial v} (p)

diff --git a/documents/GeoTopo/definitions/definitionen.pdf b/documents/GeoTopo/definitions/definitionen.pdf
diff --git a/documents/GeoTopo/other-formats/GeoTopo-A5.pdf b/documents/GeoTopo/other-formats/GeoTopo-A5.pdf