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Josia Pietsch 2024-02-06 15:16:20 +01:00
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inputs/lecture_11.tex
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@ -110,11 +110,11 @@
Whenever $B \subseteq X$ is Borel, Whenever $B \subseteq X$ is Borel,
we have that $b^{-1}(B)$ is Borel, we have that $b^{-1}(B)$ is Borel,
since $b$ is continuous. since $b$ is continuous.
For $A \subseteq \cN$ is Borel, For $A \subseteq D$ Borel
we have that $b$ with respect to $b(A)$ be get by \yaref{thm:lusinsouslin},
that $b$ with respect to $b(A)$
is Borel, is Borel,
since $b\defon{A}$ is injective, since $b\defon{A}$ is injective.
by \yaref{thm:lusinsouslin}.
Hence \yaref{thm:bsb} can be applied. Hence \yaref{thm:bsb} can be applied.
\end{proof} \end{proof}