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Tag Archives: Borel set
The (positive) unique structure theorem
There is an amazing theorem in the theory of analytic spaces, called the unique structure theorem: any two countable families F1 and F2 of Borel subsets of an analytic space X that separate the points of X generate the same … Continue reading
Posted in Uncategorized
Tagged Borel set, omega-continuous dcpo, quasi-analytic space, quasi-polish space, sigma-algebra, sigma-lattice
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Borel sets, analytic sets, and the Baire property
Let me venture into the realm of σ-algebras. Yes, you might say, that is measure theory, not topology… but topology plays an important role in measure theory and, for that matter, descriptive set theory. I will tell you about sets … Continue reading
Posted in Uncategorized
Tagged analytic set, Baire property, Borel set
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