| 1. | Suppose A and B are subsets of Baire space ? ?.
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| 2. | Elements of Baire space are referred to as " reals ".
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| 3. | For this reason, it is more common to study Baire space.
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| 4. | Common examples of Polish spaces are the real line, any Baire space.
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| 5. | The Baire category theorem says that every complete metric space is a Baire space.
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| 6. | Baire space for one particular Polish space.
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| 7. | Every point in Baire space passes through a sequence of nodes of & omega;.
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| 8. | It is used to investigate the notion of continuous reduction for subsets of Baire space.
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| 9. | Any such class of functions again determines a preorder on the subsets of Baire space.
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| 10. | The Baire space is defined to be the Cartesian product of tree of finite sequences of natural numbers.
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