diff options
Diffstat (limited to 'buch/chapters')
| -rw-r--r-- | buch/chapters/95-homologie/images/complexbasis.pdf | bin | 26502 -> 27036 bytes | |||
| -rw-r--r-- | buch/chapters/95-homologie/images/complexbasis.tex | 50 |
2 files changed, 33 insertions, 17 deletions
diff --git a/buch/chapters/95-homologie/images/complexbasis.pdf b/buch/chapters/95-homologie/images/complexbasis.pdf Binary files differindex 536f04f..3a627d4 100644 --- a/buch/chapters/95-homologie/images/complexbasis.pdf +++ b/buch/chapters/95-homologie/images/complexbasis.pdf diff --git a/buch/chapters/95-homologie/images/complexbasis.tex b/buch/chapters/95-homologie/images/complexbasis.tex index 365789c..6accb2a 100644 --- a/buch/chapters/95-homologie/images/complexbasis.tex +++ b/buch/chapters/95-homologie/images/complexbasis.tex @@ -44,36 +44,52 @@ \fill[color=gray!20] ({\s},{(2*(#1)+1)*\s}) -- - ({3-\s},{-\s}) + ({3.5-\s},{-\s}) -- - ({3-\s},{(2*(#3)+1)*\s}) + ({3.5-\s},{(2*(#3)+1)*\s}) -- - ({\s},{(2*(#1)+1)*\s}); + ({\s},{(2*(#1)+1)*\s}) + -- + cycle; \fill[color=gray!40] ({\s},{(2*(#1+1)-1)*\s}) -- - ({3-\s},{(2*(#3+1)-1)*\s}) + ({3.5-\s},{(2*(#3+1)-1)*\s}) + -- + ({3.5-\s},{(2*(#4)+1)*\s}) + -- + ({\s},{(2*(#2)+1)*\s}) -- - ({3-\s},{(2*(#4)+1)*\s}) + cycle; + \draw[<-,color=gray] + ({\s},{(2*(#1+1)-1)*\s}) + -- + ({3.5-\s},{(2*(#3+1)-1)*\s}); + \draw[->,color=gray] + ({3.5-\s},{(2*(#4)+1)*\s}) -- ({\s},{(2*(#2)+1)*\s}); + \draw[<-,color=gray!40] + ({\s},{(2*(#1)+1)*\s}) + -- + ({3.5-\s},{-\s}); } -\clip (-4.5,-1.2) rectangle (7.5,11.7); +\clip (-5.5,-1.2) rectangle (8.5,11.7); -\begin{scope}[xshift=-6cm] +\begin{scope}[xshift=-7cm] \abbildung{6}{7}{10}{11} \end{scope} -\begin{scope}[xshift=-3cm] +\begin{scope}[xshift=-3.5cm] \abbildung{6}{10}{7}{11} \rechteck{0}{6}{red} \rechteck{7}{10}{darkgreen} \rechteck{11}{11}{blue} \Rechteck{0}{11} \node[color=darkgreen] at ({0},{(9*2-1)*\s}) {$B_{k-2\mathstrut}$}; - \node at (1.5,{9*2*\s}) {$\Delta_{k-1}$}; - \node at (1.5,{-\s}) [above] {$\partial_{k-1\mathstrut}$}; + \node at (1.75,{9*2*\s}) {$\Delta_{k-1}$}; + \node at (1.75,{-\s}) [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] {$Z_{k-2\mathstrut}$}; @@ -88,14 +104,14 @@ \Rechteck{0}{11} \node at (0,{-\s}) [below] {$C_{k-1\mathstrut}$}; \node[color=darkgreen] at ({0},{(5*2-1)*\s}) {$B_{k-1\mathstrut}$}; - \node at (1.5,{6.5*2*\s}) {$\Delta_k$}; - \node at (1.5,{-\s}) [above] {$\partial_{k\mathstrut}$}; + \node at (1.75,{6.5*2*\s}) {$\Delta_k$}; + \node at (1.75,{-\s}) [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] {$Z_{k-1\mathstrut}$}; \end{scope} -\begin{scope}[xshift=3cm] +\begin{scope}[xshift=3.5cm] \abbildung{3}{5}{5}{7} \rechteck{6}{10}{blue} \rechteck{4}{5}{darkgreen} @@ -116,21 +132,21 @@ \node[color=blue] at (0.24,{2*8*\s}) {$c_3$}; \node[color=blue] at (0.24,{2*9*\s}) {$\vdots$}; \node[color=blue] at (0.24,{2*10*\s}) {$c_s$}; - \node at (1.5,{5.5*2*\s}) {$\Delta_{k+1}$}; - \node at (1.5,{-\s}) [above] {$\partial_{k+1\mathstrut}$}; + \node at (1.75,{5.5*2*\s}) {$\Delta_{k+1}$}; + \node at (1.75,{-\s}) [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] {$Z_{k\mathstrut}$}; \end{scope} -\begin{scope}[xshift=6cm] +\begin{scope}[xshift=7cm] \abbildung{0}{5}{4}{8} \rechteck{5}{7}{blue} \rechteck{1}{5}{darkgreen} \rechteck{0}{0}{red} \Rechteck{0}{7} \node at (0,{-\s}) [below] {$C_{k+1\mathstrut}$}; - \node[color=darkgreen] at ({0},{(2.5*2+1)*\s}) + \node[color=darkgreen] at ({0},{(2.0*2+1)*\s}) {$B_{k+1\mathstrut}$}; \draw[decorate,decoration={brace,amplitude=4pt}] ({-\s-0.1},{-\s}) -- ({-\s-0.1},{(2*5+1)*\s}); |