global-analysis-and-the-banach-manifold-of-class-h1-curvers

diff --git a/sections/structure.tex b/sections/structure.tex
@@ -417,10 +417,10 @@ extended to a canonical isomorphism of vector bundles, as seen in\dots
     \isoto
     \psi_{1, \gamma}(H^1(W_\gamma) \times H^1(\gamma^* TM)),
   \]
-  which takes \(\varphi(X, Y) \in T_{\exp_\gamma(X)} H^1(I, M)\) to \(\psi_{1,
-  \gamma}(X, \phi_\gamma(Y)) \in H^1(\exp_\gamma(X)^* TM)\). With enough
-  patience, one can deduce from the fact that \(\varphi_\gamma^{-1}\) and
-  \(\psi_{1, \gamma}^{-1}\) are charts that these maps agree in the
+  which takes \(\varphi_\gamma(X, Y) \in T_{\exp_\gamma(X)} H^1(I, M)\) to
+  \(\psi_{1, \gamma}(X, \phi_\gamma(Y)) \in H^1(\exp_\gamma(X)^* TM)\). With
+  enough patience, one can deduce from the fact that \(\varphi_\gamma^{-1}\)
+  and \(\psi_{1, \gamma}^{-1}\) are charts that these maps agree in the
   intersections of the open subsets \(\varphi_\gamma(H^1(W_\gamma) \times
   T_\gamma H^1(I, M))\), so that they may be glued together into a global
   smooth map \(\Phi : T H^1(I, M) \to \coprod_{\eta \in H^1(I, M)} H^1(\eta^*