Fix typo

Signed-off-by: Marcello Seri <[email protected]>
mseri · Jan 19, 2021 · 4110b9a · 4110b9a
1 parent 6188bc3
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diff --git a/6-differentiaforms.tex b/6-differentiaforms.tex
@@ -453,7 +453,7 @@ \section{Exterior derivative}
     \varphi_1^*\left(d(\varphi_{1*}\omega)_{\varphi_1(U_1\cap U_2)}\right) =
     \varphi_2^*\left(d(\varphi_{2*}\omega)_{\varphi_2(U_1\cap U_2)}\right).
   \end{equation}
-  Therefore, the exterior derivative $d\omega\in\Omega^k(M)$ is uniquely defined by the local definition~\eqref{eq:localdw}.
+  Therefore, the exterior derivative $d\omega\in\Omega^{k+1}(M)$ is uniquely defined by the local definition~\eqref{eq:localdw}.
 \end{corollary}
 \begin{proof}
   Follows from Theorem~\ref{thm:differentialpushforward} applied with $F = \varphi_1\circ\varphi_2^{-1} : \varphi_2(U) \to \varphi_1(U)$, where $U=U_1\cap U_2$.

diff --git a/aom.tex b/aom.tex
@@ -208,7 +208,7 @@
     \setlength{\parskip}{\baselineskip}
     Copyright \copyright\ \the\year\ \thanklessauthor
 
-    \par Version 0.9.6 -- \today
+    \par Version 0.9.7 -- \today
 
     \vfill
     \small{\doclicenseThis}