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Set theory
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=== Set-theoretic topology === {{Main|Set-theoretic topology}} ''Set-theoretic topology'' studies questions of [[general topology]] that are set-theoretic in nature or that require advanced methods of set theory for their solution. Many of these theorems are independent of ZFC, requiring stronger axioms for their proof. A famous problem is the [[Moore space (topology)|normal Moore space question]], a question in general topology that was the subject of intense research. The answer to the normal Moore space question was eventually proved to be independent of ZFC.
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