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Ephemeral Modules and Scott Sheaves on a Continuous Poset

math.AT · 2024-11-25 · accept · novelty 7.0

Persistence modules over continuous posets modulo ephemeral modules form a category equivalent to Scott sheaves, and the quotient functor is an isometry for interleaving distances.

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  • Ephemeral Modules and Scott Sheaves on a Continuous Poset math.AT · 2024-11-25 · accept · none · ref 1

    Persistence modules over continuous posets modulo ephemeral modules form a category equivalent to Scott sheaves, and the quotient functor is an isometry for interleaving distances.