Inter-universal Teichmuller Theory I
------------------------------------
・Added a reference to Remark 3.1.3 to the discussion of coverings at the
beginning of \S I1
Inter-universal Teichmuller Theory III
--------------------------------------
・Corrected two misprints ("\ddag" ---> "\ast") in Definition 3.8, (ii)
・Corrected a misprint ("is" ---> "it") at the beginning of Remark 1.3.3, (ii)
・Corrected a misprint ("\subseteq" ---> "def=") at the beginning of Remark
3.9.1, (ii)
・Corrected a misprint ("unit closed ball" ---> "closed unit ball") in Proposition
3.2, (ii)
・Slightly modified the reference to "integers" in Definition 1.1, (ii)
・Slightly modified the discussion immediately following the first display of
Definition 3.8, (i)
・Modified a misleading expression at the end of Proposition 3.5, (ii), (b)
・Deleted the discussion of positivity in Step (xi) of the proof of Corollary 3.12
・Updated the Acknowledgements
Inter-universal Teichmuller Theory IV
-------------------------------------
・Slightly modified the discussion immediately following the second
display of Step (ii) of the proof of Theorem 1.10
・Corrected a slight misprint in the statement of Proposition 1.6
("largest" ---> "smallest")
・Corrected a slight misprint in the first "(respectively," of
the statement of Corollary 2.2, (i)
・Slightly modified the discussion of various "consequences" of the
fact that l\ge 5 in the proof of Theorem 1.10 (at the end of Steps
(ii), (v); following the first and fifth displays of Step (viii))
・Made a slight modification ("relevant") to the discussion at the end
of the proof of Corollary 2.3
・In the discussion preceding Corollary 2.2, removed three instances
of the superscript "$\le d$"
・Slightly modified the statement of Corollary 2.2, (i), and made
corresponding adjustments to the proof of Corollary 2.2, (i)
・Added a supplementary reference to [Genell], Remark 3.3.1, to the
statement of Theorem 1.10
・Slightly modified the statement of Proposition 2.1, (i), (ii)
・Modified the statement and proof of Corollary 2.2, (ii)
・Added a new assertion "(iii)" to Corollary 2.2
・Slightly modified the references to Corollary 2.2 at the end of the
proof of Corollary 2.3
・Added Remark 2.2.1 and made corresponding adjustments to the
discussion at the end of Remark 1.10.5, (ii)
・Deleted the reference to Remark 2.3.2 in the Introduction
・Updated the Acknowledgements