[過去ログ] Inter-universal geometry と ABC予想 (応援スレ) 77 (1002レス)
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247(1): 現代数学の系譜 雑談 ◆yH25M02vWFhP 11/04(火)23:24 ID:yzUd5nV9(9/9) AAS
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外部リンク:mathoverflow.net
How strong a set theory is necessary for practical purposes in sheaf theory?
asked May 14, 2020 at 0:09
user158035
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Thank you David. This paper of McLarty's is really remarkable, and seems to be what I asked for, and then much more as well. –
user158035
CommentedMay 14, 2020 at 15:24
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250(3): 現代数学の系譜 雑談 ◆yH25M02vWFhP 11/05(水)10:13 ID:K/Lr81ky(2/12) AAS
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外部リンク:mathoverflow.net
How strong a set theory is necessary for practical purposes in sheaf theory?
asked May 14, 2020 user158035
Is it known how much of ZFC is actually necessary for the basic, familiar constructions and theorems in sheaf theory, along the lines of section II.1 (and its exercises) in Hartshorne's "Algebraic Geometry" textbook?
1 Answer
Colin McLarty has looked into this
The large structures of Grothendieck founded on finite order arithmetic, Review of Symbolic Logic 13 issue 2 (2020) pp. 296--325, doi:10.1017/S1755020319000340, 外部リンク[1773]:arxiv.org
with abstract (emphasis added):
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