As in the title, suppose I start with a simplicial complex, perform a barycentric subdivision once, compute its 1-skeleton, then hand it to you, and you are told about this procedure. Can you recover the simplicial complex I started with upto homotopy?
2026-03-25 03:07:50.1774408070
Is it possible to recover a simplicial complex from its 1-skeleton via its barycentric subdivision?
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