| 11. | The importance of antichains in forcing is that for most purposes, dense sets and maximal antichains are equivalent.
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| 12. | More generally, a topological space is called ?-resolvable if it contains ? pairwise disjoint dense sets.
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| 13. | More precisely, the complement of a nowhere dense set is a set with " dense interior ".
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| 14. | This yields the fundamental identity for a dense set of invertible elements, so it follows in general by continuity.
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| 15. | On, for a dense set of, the pair is equivalent to with " b " invertible.
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| 16. | The Baire category theorem says : If " X " is a countably many nowhere dense sets is empty.
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| 17. | I believe my intuition was right : it is possible to separate two disjoint dense sets, provided both are countable.
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| 18. | Then a relatively dense set " X " is a Meyer set if and only if it is harmonious.
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| 19. | By the Schwarz reflection principle . " f " can be extended to a conformal map between these open dense sets.
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| 20. | A set is called " comeager " or " residual " if it contains the intersection of a countable family of open dense sets.
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