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Fix references
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aisejohan committed Sep 20, 2014
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5 changes: 3 additions & 2 deletions formal-spaces.tex
Expand Up @@ -870,7 +870,7 @@ \section{Topological rings and modules}
$$
Since $A \to B$ is continuous, for every $\lambda$ there
is a $\mu$ such that $I_\mu B \subset J_\lambda$, see discussion in
Remark \ref{example-what-does-it-mean}. Hence the limit
Example \ref{example-what-does-it-mean}. Hence the limit
can be written as $\lim B/(J_\lambda + IB)$ and the result is clear.
\end{proof}

Expand Down Expand Up @@ -2831,7 +2831,8 @@ \section{Morphisms representable by algebraic spaces}
Then $A^\wedge$ (endowed with the limit topology) is a
complete linearly topologized ring. The (open) kernel $I$
of the surjection $A^\wedge \to A/JA$ is the closure of $JA^\wedge$, see
Lemma \ref{lemma-closed}. By Lemma \ref{lemma-topologically-nilpotent}
Lemma \ref{lemma-closed}. By
Lemma \ref{lemma-topologically-nilpotent}
we see that $I$ consists of topologically nilpotent elements.
Thus $I$ is a weak ideal of definition of $A^\wedge$ and we conclude
$A^\wedge$ is a weakly admissible topological ring. Thus
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