
arXiv: 2211.07958
AbstractWe present the true stages machinery and illustrate its applications to descriptive set theory. We use this machinery to provide new proofs of the Hausdorff–Kuratowski and Wadge theorems on the structure of $\mathbf {\Delta }^0_\xi $ , Louveau and Saint Raymond’s separation theorem, and Louveau’s separation theorem.
true stages, 03D99, Applications of computability and recursion theory, FOS: Mathematics, priority argument, Mathematics - Logic, Logic (math.LO), Descriptive set theory, Hierarchies of computability and definability, Borel hierarchy
true stages, 03D99, Applications of computability and recursion theory, FOS: Mathematics, priority argument, Mathematics - Logic, Logic (math.LO), Descriptive set theory, Hierarchies of computability and definability, Borel hierarchy
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