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-rw-r--r--buch/chapters/95-homologie/images/approximation.pdfbin32134 -> 46877 bytes
-rw-r--r--buch/chapters/95-homologie/images/approximation.tex2
-rw-r--r--buch/chapters/95-homologie/images/complexbasis.pdfbin27033 -> 27139 bytes
-rw-r--r--buch/chapters/95-homologie/images/complexbasis.tex14
4 files changed, 12 insertions, 4 deletions
diff --git a/buch/chapters/95-homologie/images/approximation.pdf b/buch/chapters/95-homologie/images/approximation.pdf
index 8bdd2e7..517dde6 100644
--- a/buch/chapters/95-homologie/images/approximation.pdf
+++ b/buch/chapters/95-homologie/images/approximation.pdf
Binary files differ
diff --git a/buch/chapters/95-homologie/images/approximation.tex b/buch/chapters/95-homologie/images/approximation.tex
index 042f0e2..1039764 100644
--- a/buch/chapters/95-homologie/images/approximation.tex
+++ b/buch/chapters/95-homologie/images/approximation.tex
@@ -35,7 +35,7 @@
\xdef\blau{\pgfmathresult}
\definecolor{mycolor}{rgb}{\rot,0.8,\blau}
\fill[color=mycolor]
- (\a:{\s*\r}) -- (\a:{\s*(\r+0.2)}) -- ({\a+1}:{\s*(\r+0.2)}) -- ({\a+1}:{\s*\r}) -- cycle;
+ (\a:{\s*\r}) -- (\a:{\s*(\r+0.21)}) -- ({\a+1.02}:{\s*(\r+0.21)}) -- ({\a+1.02}:{\s*\r}) -- cycle;
}
}
}
diff --git a/buch/chapters/95-homologie/images/complexbasis.pdf b/buch/chapters/95-homologie/images/complexbasis.pdf
index 9ff6709..663eaa9 100644
--- a/buch/chapters/95-homologie/images/complexbasis.pdf
+++ b/buch/chapters/95-homologie/images/complexbasis.pdf
Binary files differ
diff --git a/buch/chapters/95-homologie/images/complexbasis.tex b/buch/chapters/95-homologie/images/complexbasis.tex
index bab89d2..877351d 100644
--- a/buch/chapters/95-homologie/images/complexbasis.tex
+++ b/buch/chapters/95-homologie/images/complexbasis.tex
@@ -87,9 +87,10 @@
\rechteck{7}{10}{darkgreen}
\rechteck{11}{11}{blue}
\Rechteck{0}{11}
+ \draw[->,shorten >= 0.5cm,shorten <= 0.5cm] (0,{-\s-0.25}) -- (-3.5,{-\s-0.25});
\node[color=darkgreen] at ({0},{(9*2-1)*\s}) {$B_{k-2\mathstrut}$};
\node at (1.75,{9*2*\s}) {$\Delta_{k-1}$};
- \node at (1.75,{-\s}) [above] {$\partial_{k-1\mathstrut}$};
+ \node at (1.75,{-\s-0.25}) [above] {$\partial_{k-1\mathstrut}$};
\draw[decorate,decoration={brace,amplitude=4pt}]
({-\s-0.1},{-\s}) -- ({-\s-0.1},{(2*10+1)*\s});
\node at ({-\s-0.17},{10*\s}) [left] {$Z_{k-2\mathstrut}$};
@@ -103,9 +104,10 @@
\rechteck{0}{2}{red}
\Rechteck{0}{11}
\node at (0,{-\s}) [below] {$C_{k-1\mathstrut}$};
+ \draw[->,shorten >= 0.5cm,shorten <= 0.5cm] (0,{-\s-0.25}) -- (-3.5,{-\s-0.25});
\node[color=darkgreen] at ({0},{(5*2-1)*\s}) {$B_{k-1\mathstrut}$};
\node at (1.75,{6.5*2*\s}) {$\Delta_k$};
- \node at (1.75,{-\s}) [above] {$\partial_{k\mathstrut}$};
+ \node at (1.75,{-\s-0.25}) [above] {$\partial_{k\mathstrut}$};
\draw[decorate,decoration={brace,amplitude=4pt}]
({-\s-0.1},{-\s}) -- ({-\s-0.1},{(2*7+1)*\s});
\node at ({-\s-0.17},{7*\s}) [left] {$Z_{k-1\mathstrut}$};
@@ -118,6 +120,7 @@
\rechteck{0}{3}{red}
\Rechteck{0}{10}
\node at (0,{-\s}) [below] {$C_{k\mathstrut}$};
+ \draw[->,shorten >= 0.5cm,shorten <= 0.5cm] (0,{-\s-0.25}) -- (-3.5,{-\s-0.25});
\node[color=darkgreen] at ({-0.25},{9*\s})
{$B_{k\mathstrut}$};
\node[color=darkgreen] at (0.24,{2*4*\s}) {$b_1$};
@@ -133,7 +136,7 @@
\node[color=blue] at (0.24,{2*9*\s}) {$\vdots$};
\node[color=blue] at (0.24,{2*10*\s}) {$c_s$};
\node at (1.75,{5.5*2*\s}) {$\Delta_{k+1}$};
- \node at (1.75,{-\s}) [above] {$\partial_{k+1\mathstrut}$};
+ \node at (1.75,{-\s-0.25}) [above] {$\partial_{k+1\mathstrut}$};
\draw[decorate,decoration={brace,amplitude=4pt}]
({-\s-0.1},{-\s}) -- ({-\s-0.1},{(2*5+1)*\s});
\node at ({-\s-0.17},{5*\s}) [left] {$Z_{k\mathstrut}$};
@@ -146,6 +149,7 @@
\rechteck{0}{0}{red}
\Rechteck{0}{7}
\node at (0,{-\s}) [below] {$C_{k+1\mathstrut}$};
+ \draw[->,shorten >= 0.5cm,shorten <= 0.5cm] (0,{-\s-0.25}) -- (-3.5,{-\s-0.25});
\node[color=darkgreen] at ({0},{(2.0*2+1)*\s})
{$B_{k+1\mathstrut}$};
\draw[decorate,decoration={brace,amplitude=4pt}]
@@ -153,6 +157,10 @@
\node at ({-\s-0.17},{5*\s}) [left] {$Z_{k+1\mathstrut}$};
\end{scope}
+\begin{scope}[xshift=10.5cm]
+ \draw[->,shorten >= 0.5cm,shorten <= 0.5cm] (0,{-\s-0.25}) -- (-3.5,{-\s-0.25});
+\end{scope}
+
\end{tikzpicture}
\end{document}