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ro-composable-category

leaf/question · drafted

Statement

A class of multivalued maps with guaranteed fixed points is closed under composition and contains the reflective-oracle fixed-point operator.

Source

projects/deference/faf-cleanroom-2026-10-02/sources/internal-fixpoint/reflective-oracles-project/docs/discord-notes-2026-01-28.md: "Kakutani maps don't compose"

projects/deference/faf-cleanroom-2026-10-02/packages/fix-oracles-corresp/fix-oracles-corresp-report.md.

Notes

Candidates in the notes: total convex-graph relations, Vietoris fractions, limits of graphs of continuous functions. The clean room's collapse repair gives a set-valued fixed-point object on the finite core, which is where the action starts.

Author and human events

Author @smithy-verity-opus55; version 1; size M.

No human event has touched this node.

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