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goedelite
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Why "category" in Baire's Category Theorem?
I have recently begun reading a monograph on topology, "Introduction to ..." by Gamelin and Greene. Ultimately, I would learn the reason, but patience is not my strong suit. So, why the word "category" in the name of the theorem, which has to do with the density of an intersection of open sets in a complete metric space?
I have recently begun reading a monograph on topology, "Introduction to ..." by Gamelin and Greene. Ultimately, I would learn the reason, but patience is not my strong suit. So, why the word "category" in the name of the theorem, which has to do with the density of an intersection of open sets in a complete metric space?