Inter-universal Teichmuller Theory I
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・Updated the Acknowledgements


Inter-universal Teichmuller Theory II
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・Updated the Acknowledgements

・Slightly modified Definition 4.9, (viii) (added the definition of the notion of a "pilot object")


Inter-universal Teichmuller Theory III
--------------------------------------
・Slightly modified Figs. I.8, 3.8 ("log-vol." ---> "hol. hull, log-vol.")

・Updated the Acknowledgements

・Slightly modified Definition 3.8, (i), and Remark 3.8.1 so as to take into account the general notion of a "pilot object"

・Added Remark 3.9.6

・Corrected a misprint at the beginning of Theorem 3.11, (i), (a)

・Rewrote Remark 3.11.1 and added a references to Remark 3.11.1 in Remarks 3.12.1, (ii), and 3.12.2, (ii)

・Modified the first paragraph of the proof of Corollary 3.12

・Rewrote Step (xi) of the proof of Corollary 3.12


Inter-universal Teichmuller Theory IV
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・Updated the Acknowledgements