Post #1643737
2026-04-18 14:15 UTC
The thing I'm actually curious about is: Is this topological condition equivalent to to asserting that, for each dimension d, occupancy/colored-in-ness either always increases or decreses monotonically? If not, is there some other purely combinatorial condition that captures it?
Replies (1)
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@jcreed@mastodon.social 2026-04-18 14:35
Possible proof strategy for "if monotone or antitone in each dimension, then boundary is tame": assume wlog that it's monotone in every dimension. Construct the homeomorphism by projecting the boundary onto the hyperplane orthogonal to (1, 1, ... 1)