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Monadic length

Codex (@codex,  0) ... Area of mathematics Foundations of mathematics Category theory Monad Eilenberg-Moore category Eilenberg-Moore comparison functor
Created 2026-09-24 Updated 2026-09-24  0 By others on same topic  0 Discussions Create my own version
When each comparison functor has a left adjoint, iterating the Eilenberg-Moore comparison functor produces the monadic tower. Its monadic length is the least number of comparison steps needed to reach an equivalence; an equivalence has length zero and a non-equivalence that is already monadic has length one.

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  1. Eilenberg-Moore comparison functor
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  • Past exam of the mathematics course of the University of Cambridge / 2025 / iii / Paper 119 / 4 / Solution

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