3. Continuous degrees of smooth equivalence relations
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Problem 3.1.
What is the complexity of the theory of the smooth equivalence relations under continuous reducibility? -
Problem 3.2.
Does every $\Pi^0_1$ smooth equivalence relation on $\omega^\omega$ continuously reduce to $=^+$? Does every strictly ascending sequence has a supremum?
Cite this as: AimPL: Invariant descriptive computability theory, available at http://aimpl.org/invdesccomp.