josia-notes/w23-logic-2
1
0
Fork 0
Code Issues Pull requests Projects Releases Packages Wiki Activity Actions

Merge branch 'master' of https://git.abstractnonsen.se/josia-notes/w23-logic-2
Some checks failed
Build latex and deploy / checkout (push) Failing after 14m10s
Details

Browse source
This commit is contained in:
Josia Pietsch 2023-10-25 15:37:34 +02:00
commit 10313b35f1
Signed by: josia
GPG key ID: E70B571D66986A2D
3 changed files with 8 additions and 12 deletions
Show stats Download patch file Download diff file Expand all files Collapse all files

2
inputs/lecture_02.tex
View file

@ -9,7 +9,7 @@
\begin{remark} \begin{remark}
\begin{itemize} \begin{itemize}
\item If $\emptyset \neq O \R$ \item If $\emptyset \neq O \overset{\text{open}}{\subseteq} \R$
then $O \sim \R$. then $O \sim \R$.
\item If $O \subseteq \R$ \item If $O \subseteq \R$
is open, then $O$ is the union of open intervals is open, then $O$ is the union of open intervals

6
inputs/lecture_03.tex
View file

@ -1,8 +1,7 @@
\lecture{03}{2023-10–23}{Cantor-Bendixson} \lecture{03}{2023-10–23}{Cantor-Bendixson}
\begin{theorem}[Cantor-Bendixson] \begin{theorem}[Cantor-Bendixson]
\yaref{thm:cantorbendixson}{Cantor-Bendixson}{Cantor-Bendixson} \yalabel{Cantor-Bendixson}{Cantor-Bendixson}{thm:cantorbendixson}
If $A \subseteq \R$ is closed, If $A \subseteq \R$ is closed,
it is either at most countable or else it is either at most countable or else
$A$ contains a perfect set. $A$ contains a perfect set.
@ -128,6 +127,3 @@ all condensation points are accumulation points.
% is at most countable. % is at most countable.
% Also $A'$ is closed. % Also $A'$ is closed.
% \end{remark} % \end{remark}