Inter-universal Teichmuller Theory II
-------------------------------------
・Corrected a misprint in the first sentence of Proposition 4.3, (ii) (the notation for the
"topological monoid")
・Added a missing "dx" to the integrals in the discussion of the Introduction following
Fig. I.3, as well as in Remark 1.12.5, (i)
・Corrected two misprints in the discussion of the Introduction following Fig. I.5 ("related to the
fact that" ---> "related to the fact that the", "Arakleov" ---> "Arakelov")
・Slightly modified Fig. I.8
・Corrected a misprint in Remark 2.5.1, (ii) ("the point of ... correspond to" ---> "the point of ...
that corresponds to")
・Corrected a misprint in Remark 3.6.4, (v) ("structures with" ---> "structures which")
・Added a supplementary explanation to the final sentence of Proposition 4.2, (ii)
Inter-universal Teichmuller Theory III
--------------------------------------
・Slightly modified the wording of various portions of the Abstract
・Corrected a misprint at the beginning of the Introduction ("central role in theory" ---> "central
role in the theory")
・Slightly modified the description of the construction of prime-strips, log-shells following
Fig. I.2
・Corrected misprint in the Introduction involving the symbol "S_{...}", which should be replaced by
"S_{...}^\pm"
・Corrected a misprint in Proposition 3.4, (ii) ("which shall occasionally identify" ---> "which we
shall occasionally identify")
・Corrected a misprint in Remark 3.6.2, (ii) ("From the this point of view" ---> "From this point of view")
・Corrected a misprint in Step (iv) of the proof of Corollary 3.12 ("simultaneous accommodating"
---> "simultaneously accommodating")
Inter-universal Teichmuller Theory IV
-------------------------------------
・Corrected errors in the computation of Step (viii) of the proof of Theorem 1.10
arising from a slight misinterpretation of the constant "C_\Theta" defined in
[IUTchIII], Corollary 3.12, and made corresponding modifications to the inequalities
of the final two displays of Theorem 1.10
・Made modifications to the final display of Corollary 2.2, (ii), as well as to the
fourth to last, third to last, and second to last paragraphs of the proof of Corollary 2.2,
that arose from the modifications to the final display of Theorem 1.10
・Slightly modified the references quoted concerning the term "multiradial algorithms" in
the first paragraph of the Introduction
・Slightly modified the assumption on the finite set I at the beginning of Proposition 1.1
・Added the reference [Ih], together with Remark 1.3.1, which refers to [Ih]
・Corrected a misprint (an omitted "[GenEll]") in the first paragraph of the proof of Corollary 2.3
・Added a supplementary explanation to the discussion at the beginning of the proof of
Proposition 1.4
・Added a supplementary explanation to the discussion following the second display of Step (iii)
of the proof of Theorem 1.10
・Corrected a misprint in the statement of the property (P6) in the proof of Corollary 2.2