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How can I solve this problem.

Let X be an uncountable set with the discrete topology. Show that the Baire $\sigma$-algebra of X differs from Borel $\sigma$-algebra of X.

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    $\LaTeX$ tip: If you put the `-` inside the `$`, it is interpreted like the operator $-$; you want it to be a simple hyphen, so it should be outside of the $\LaTeX$2012-05-14
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    In this case, both the Baire $\sigma$-algebra and the Borel $\sigma$-algebra have explicit descriptions. Can you think of some examples of Baire sets? Borel sets?2012-05-14
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    It is a problem that I can't find examples.....2012-05-14
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    Start with: What are the open sets? What are the compact sets?2012-05-14
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    Since discrete topology, open sets are arbitrary2012-05-14
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    Exactly. Which subsets of $X$ are compact, given the fact that every subset of $X$ (and so, in particular, every singleton $\{x\}$ with $x\in X$) is open?2012-05-14

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