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PetePics Chapter 1 - Iterated Galois maps - The 3-hop equivalence

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Comment Source:![picture](https://i.imgur.com/4kDBMhM.png)
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In your post on the 4-hop fixed point, you say:

Since these are true at every point, they can be expressed as statements about maps rather than about values

The three-hop equivalence can be expressed this way too: $$f \circ g \circ f \cong f$$ and $$g \circ f \circ g \cong g$$. It's not quite as pretty, but it's there!

Comment Source:In your post on the [4-hop fixed point](https://forum.azimuthproject.org/discussion/2189/petepics-chapter-1-iterated-galois-maps-the-4-hop-fixed-point), you say: > Since these are true at every point, they can be expressed as statements about maps rather than about values The three-hop equivalence can be expressed this way too: \$$f \circ g \circ f \cong f\$$ and \$$g \circ f \circ g \cong g\$$. It's not _quite_ as pretty, but it's there!