diff --git a/thesis/3_SimplicialAbelianGroups.tex b/thesis/3_SimplicialAbelianGroups.tex
index c092aad..24bc90e 100644
--- a/thesis/3_SimplicialAbelianGroups.tex
+++ b/thesis/3_SimplicialAbelianGroups.tex
@@ -39,12 +39,12 @@ This category $\DELTA$ will act as a protoype for these kind of geometric struct
(Or equivalently a covariant functor $X: \DELTA^{op} \to \Set.$)
\end{definition}
-So the category of all simplicial sets, $\sSet$, is the functor category $\Set^{\DELTA^{op}}$, where morphisms are natural transformations. Because the face and degeneracy maps give all the maps in $\DELTA$ it is sufficient to define images of $\delta_i$ and $\sigma_i$ in order to define a functor $X: \DELTA^{op} \to \Set$. And hence we can picture a simplicial set as done in figure~\ref{fig:simplicial_abelian_group}. Comparing this to figure~\ref{fig:delta_cat} we see that the arrows are reversed, because $X$ is a contravariant functor.
+So the category of all simplicial sets, $\sSet$, is the functor category $\Set^{\DELTA^{op}}$, where morphisms are natural transformations. Because the face and degeneracy maps give all the maps in $\DELTA$ it is sufficient to define images of $\delta_i$ and $\sigma_i$ in order to define a functor $X: \DELTA^{op} \to \Set$. And hence we can picture a simplicial set as done in figure~\ref{fig:simplicial_set}. Comparing this to figure~\ref{fig:delta_cat} we see that the arrows are reversed, because $X$ is a contravariant functor.
\begin{figure}
- \includegraphics{simplicial_abelian_group}
- \caption{A simplicial abelian group.}
- \label{fig:simplicial_abelian_group}
+ \includegraphics{simplicial_set}
+ \caption{A simplicial set.}
+ \label{fig:simplicial_set}
\end{figure}
diff --git a/thesis/images/delta_cat.pdf b/thesis/images/delta_cat.pdf
index e363585..41f07f9 100644
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diff --git a/thesis/images/delta_cat.svg b/thesis/images/delta_cat.svg
index 58e72ca..f9dd865 100644
--- a/thesis/images/delta_cat.svg
+++ b/thesis/images/delta_cat.svg
@@ -13,7 +13,7 @@
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+ sodipodi:docname="delta_cat.svg">
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diff --git a/thesis/images/simplicial_abelian_group.pdf b/thesis/images/simplicial_abelian_group.pdf
deleted file mode 100644
index 5c020bc..0000000
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diff --git a/thesis/images/simplicial_set.pdf b/thesis/images/simplicial_set.pdf
new file mode 100644
index 0000000..31d4c57
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diff --git a/thesis/images/simplicial_abelian_group.svg b/thesis/images/simplicial_set.svg
similarity index 89%
rename from thesis/images/simplicial_abelian_group.svg
rename to thesis/images/simplicial_set.svg
index 76140c5..c4749e4 100644
--- a/thesis/images/simplicial_abelian_group.svg
+++ b/thesis/images/simplicial_set.svg
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+ sodipodi:docname="simplicial_set.svg">
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