[過去ﾛｸﾞ] IUTを読むための用語集資料集スレ (1002ﾚｽ)
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595(1): 現代数学の系譜 雑談 ◆yH25M02vWFhP 2020/10/25(日)09:23 ID:eIdDsFH8(4/19) AAS
>>594
つづき

In this context, we remark that it is also this state of affairs that gave rise to the term
“inter-universal”: That is to say, the notion of a “universe”, as well as the use of
multiple universes within the discussion of a single set-up in arithmetic geometry, already
occurs in the mathematics of the 1960’s, i.e., in the mathematics of Galois categories
and ´etale topoi associated to schemes. On the other hand, in this mathematics of the
省11

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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”.
省21

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