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Nov 20, 2020 at 9:28 history edited Noah Schweber CC BY-SA 4.0
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Aug 12, 2018 at 16:24 comment added Noah Schweber This seems a good explanation to me! However, it's worth pointing out that you've rephrased my goal: "Noah is interested in cases where you can recover $\tau$ completely just from the restriction of $\mathcal{R}$ to a nice, small (meaning, size $\le 2^{\aleph_0}$) subclass" uses the fact that a family of continuum-many sets is bounded in the Wadge hierarchy, even though the Wadge hierarchy has length only $\Theta$; this fact is pretty trivial, since we can code continuum-many sets into a single set appropriately, but I want to point out the change in phrasing even though it's easy.
Aug 12, 2018 at 12:26 history answered James CC BY-SA 4.0