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596(1): 現代数学の系譜 雑談 ◆yH25M02vWFhP 2020/10/25(日)09:24 ID:eIdDsFH8(5/19) AAS
>>595
つづき
That is to say, it is precisely this sort of situation that is referred to by the term
“inter-universal”. Put another way,
a change of universe may be thought of [cf. the discussion of §2.7, (i)] as
a sort of abstract/combinatorial/arithmetic version of the classical notion
of a “change of coordinates”.
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597: 現代数学の系譜 雑談 ◆yH25M02vWFhP 2020/10/25(日)09:24 ID:eIdDsFH8(6/19) AAS
>>596
つづき
Finally, in passing, we note that this discussion applies, albeit in perhaps a somewhat
trivial way, to the isomorphism of Galois groups ΨηX : GK〜→ GK induced by the
Frobenius morphism ΦηX in Example 2.6.1, (i): That is to say, from the point of view
of classical ring theory, this isomorphism of Galois groups is easily seen to coincide with
the identity automorphism of GK. On the other hand, if one takes the point of view
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