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Tag Archives: quotient
Quotients, colimits of dcpos, and related matters
How do we build colimits in the category Top of topological spaces? This is easy: we take the quotient of a big disjoint sum. How do we build colimits in the category Dcpo of dcpos? This is a much more … Continue reading
Posted in Uncategorized
Tagged dcpo, quotient
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Shimrat’s theorem
Marcus Tressl just found a horrible mistake in the book: I had claimed that the T0 quotient of the topological quotient of any sober space by any equivalence relation is sober, but that is completely wrong. In fact, Moshe Shimrat … Continue reading
Posted in Uncategorized
Tagged Hausdorff space, quotient, sober space
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