Aspelled

1 files changed, 5 insertions, 4 deletions

diff --git a/sections/fraisse_classes.tex b/sections/fraisse_classes.tex
index 9110f44..dc6392d 100644
--- a/sections/fraisse_classes.tex
+++ b/sections/fraisse_classes.tex
@@ -149,6 +149,7 @@
   \end{proof}
 
   \begin{definition}
+	\label{definition:random_graph}
     The \emph{random graph} is the Fraïssé limit of the class of finite graphs
     $\cG$ denoted by $\FrGr = \Flim(\cG)$.
   \end{definition}
@@ -253,7 +254,7 @@
 		  \end{tikzcd}
 		\end{center}
 
-	  We have deliberately omited names for embeddings of $C$. Of course, 
+	  We have deliberately omitted names for embeddings of $C$. Of course, 
 	  the functor has to take them into account, but this abuse of notation
 	  is convenient and should not lead into confusion.
 	  \item Let $A\leftarrow C\rightarrow B$, $A'\leftarrow C\rightarrow B'$ be cospans
@@ -414,13 +415,13 @@
 	theorem \ref{theorem:fraisse_thm} it suffices to show that the age of $\Pi$
 	is $\cC$ and that it has the weak ultrahomogeneity in the class $\cC$. The
 	former comes easily, as for every structure $A\in \cC$ we have the structure
-	$(A, \id_A)\in \cD$, which means that the structure $A$ embedds into $\Pi$.
-	Also, if a structure $(B, \beta)\in\cD$ embedds into $\cD$, then $B\in\cC$.
+	$(A, \id_A)\in \cD$, which means that the structure $A$ embeds into $\Pi$.
+	Also, if a structure $(B, \beta)\in\cD$ embeds into $\cD$, then $B\in\cC$.
 	Hence, $\cC$ is indeed the age of $\Pi$.
 
 	Now, take any structure $A, B\in\cC$ such that $A\subseteq B$. Without the
 	loss of generality assume that $A = B\cap \Pi$. Let $\bar{A}$ be the
-	smallest structure closed on the automorphism $\sigma$ and containg $A$.
+	smallest structure closed on the automorphism $\sigma$ and containing $A$.
 	It is finite, as $\cC$ is the age of $\Pi$. By the weak Hrushovski property,
 	of $\cC$ let $(\bar{B}, \beta)$ be a structure extending 
 	$(B\cup \bar{A}, \sigma\upharpoonright_{\bar{A}})$. Again, we may assume