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Added some notations.

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Bokuan Li
2026-05-28 13:03:41 -04:00
parent 1d65f25d03
commit eef9ef89b0
2 changed files with 7 additions and 2 deletions
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src/dg/notation.tex
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@@ -17,5 +17,8 @@ Differential geometry is the study of things invariant under change of notation.
$\tilde C_\sigma^n(U; F)$ & $n$-fold continuously $\tilde \sigma$-differentiable functions. & \autoref{definition:continuously-differentiable-space} \\
$L^{(n)}_\sigma(E; F)$ & Codomain of derivatives. $L^{(0)}_\sigma(E; F) = F$, $L^{(n)}_\sigma(E; F) = L(E; L_\sigma^{(n-1)}(E; F))$, equipped with the $\sigma$-uniform topology. & \autoref{definition:higher-derivatives-codomain} \\
$x^{(k)}$ & Tuple of $x$ repeated $k$ times. & \autoref{theorem:taylor-peano} \\
$D^+f(x)$ & Right derivative of $f$ at $x$. & \autoref{definition:right-differentiable-mvt}
$D^+f(x)$ & Right derivative of $f$ at $x$. & \autoref{definition:right-differentiable-mvt} \\
$\omega_{z, r}$ & Standard path of winding number 1. & \autoref{definition:winding-number-1} \\
$H(U; E)$ & Space of $E$-valued holomorphic functions on $U$. & \autoref{definition:holomorphic-function-space} \\
$H(A; E)$ & Space of $E$-valued holomorphic functions near $A$. & \autoref{definition:holomorphic-function-space-near}
\end{tabular}