24 lines
396 B
TeX
24 lines
396 B
TeX
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\tutorial{05}{}{}
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% Sheet 5 - 18.5 / 20
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\subsection{Exercise 1}
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Let $B \subseteq C$ be comeager.
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Then $B = B_1 \cup B_2$,
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where $B_1$ is dense $G_\delta$
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and $B_2$ is meager.
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\begin{fact}
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$X$ is Baire iff every non-empty open set is non-meager.
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In particular, let $X$ be Baire,
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then $U \overset{\text{open}}{\subseteq} X$
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is Baire.
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\end{fact}
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\subsection{Exercise 2}
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