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@jcreed@mastodon.social

Post #1643740

2026-04-18 16:25 UTC

So here's a restatement of the question that I still don't know the answer to: Let f : š”¹āæ → š”¹ be a boolean function. Turn this into a subset of ā„āæ by saying S = { v ∈ ā„āæ | f(v₁ ≄ 0, …, vā‚™ ≄ 0) } Is there a nice purely combinatorial condition on f that is equivalent to "the boundary āˆ‚S is homeomorphic to ā„āæā»Ā¹"?

Replies (1)

  • @jcreed@mastodon.social 2026-04-18 16:26

    Is this even decidable in general? Does this run into "undecidability of spheres"-style problems? I guess it's trivially decidable when restricted to a particular n, because then the question is finite...

    Open ##1643741