4 problems
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Margolis's Uniqueness Conjecture for the stable homotopy category
Margolis Uniqueness Conjecture. If there is an exact equivalence
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Extended Uniqueness Conjecture for coherent weakly approximable triangulated categories
Extended Uniqueness Conjecture. If there is an exact equivalence
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Enhancement-free reconstruction conjecture for triangulated categories
Enhancement-free reconstruction conjecture. It has long been conjectured that, at least in some cases, can be reconstructed from without using an enhancement.
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Bondarko–Beilinson conjecture on filtered enhancements of reasonable triangulated categories
A reasonable triangulated category is a triangulated category satisfying the reasonableness condition of Bondarko; a filtered enhancement is an enhancement equipped with the filter…