tex-projects/LaTeX-examples
2
0
Fork 0
mirror of https://github.com/MartinThoma/LaTeX-examples.git synced 2025-04-19 11:38:05 +02:00
Code Activity

Henrieke, Email vom 13.11.2013: Kleine Verbesserung. Danke

Browse source
This commit is contained in:
Martin Thoma 2013-11-14 08:49:34 +01:00
parent d1b12810eb
commit df4d55f552
2 changed files with 2 additions and 2 deletions
Download patch file Download diff file Expand all files Collapse all files

BIN
documents/GeoTopo/GeoTopo.pdf
View file

Binary file not shown.

4
documents/GeoTopo/Kapitel2.tex
View file

@ -73,8 +73,8 @@ U_i = \Set{(x_0: \dots : x_n) \in \mdp^n(\mdr) | x_i \neq 0} &\rightarrow \mdr^n
Karten: $O_i := \Set{(x_1, \dots, x_{n+1}) \in S^n | x_i > 0} \rightarrow \fB_1 (\underbrace{0, \dots, 0}_{\in \mdr^n})$\\
$(x_1, \dots, x_{n+1}) \mapsto (x_1, \dots, x_i, \dots, x_{n+1})$\\
$(x_1, \dots, x_{i-1}, \sqrt{1 - \sum x^2}) \mapsfrom (x_1, \dots, x_n)$\todo{was genau steht hier?}\\
$S^n = \bigcup_{i=1}^{n+1} (c_i \cup D_i)$
$(x_1, \dots, x_{i-1}, \sqrt{1-\sum_{k=1}^n x_k^2}, x_i, \cdots, x_n)\mapsfrom (x_1, \dots, x_n)$\\
$S^n = \bigcup_{i=1}^{n+1} (C_i \cup D_i)$
\item $[0,1]$ ist keine Mannigfaltigkeit, denn:\\
Es gibt keine Umgebung von $0$ in $[0,1]$, die homöomorph
zu einem offenem Intervall ist.