Inter-universal Teichmuller Theory I ------------------------------------ ・Corrected a misprint ("prime strip" ---> "prime-strip", 1 instance) in 　Definition 4.1, (iv) ・Replaced the "$\ast$'s" by "$\divideontimes$'s" in Figs. I1.3, 4.4, and 　made corresponding adjustments to the surrounding text ・Corrected a minor misprint ("Z^\hat" ---> "Z^\hat \otimes Q") in Example 　5.1, (v) Inter-universal Teichmuller Theory II ------------------------------------- ・Corrected misprints ("structures structures") in Figs. I.3, 1.3 ・Corrected misprints (i.e., missing superscript "N's") in the 　theta monoids (4 instances) and Gaussian monoids (1 instance) 　that appear in the discussion of the Introduction ・Corrected a misprint concerning the hyperbolic curve introduced at 　the beginning of \S 1 ・Corrected a misprint (i.e., "))" ---> ")") towards the end of Remark 　1.5.2 ・Corrected a misprint (i.e., "))" ---> ")") in the first display of 　Corollary 3.5, (ii) ・Corrected misprints concerning the \Theta-link in Remark 4.10.3, (i) 　(1 instance), (ii) (3 instances), (iii) (1 instance) ・Corrected a misprint (a missing superscript "bad") in Remark 4.7.3, (i) ・Added a supplementary explanatory phrase to the sentence following the 　display of Remark 1.8.1 ・Corrected a misprint (i.e., "\Psi" ---> "\Xi", 4 instances) in the final 　sentence of Example 1.9, (i) ・Corrected a misprint (i.e., "(R,C,\Psi_R)" ---> "(R,C,\Phi)", 2 instances) 　in Example 1.9, (ii) ・Corrected misprints (i.e., "\Psi" ---> "\Phi", 2 instances; 　"(R,C,\Psi_R)" ---> "(R,C,\Phi)", 2 instances) in Example 1.9, (iii) ・Corrected a misprint (i.e., "(R,C,\Psi_R)" ---> "(R,C,\Phi)", 1 instance) 　in Example 1.9, (iv) ・Slightly modified (i.e., by adding "["poly-"]") the discussion of Remark 　4.8.1, (ii) (4 instances), (iii) (1 instance) Inter-universal Teichmuller Theory III -------------------------------------- ・Corrected a misprint ("prime strip" ---> "prime-strip", 2 instances) in 　the discussion following Fig. I.2 ・Deleted a mistaken estimate of the factorial in the discussion following 　Fig. I.3 ・Updated the Acknowledgements ・In Proposition 2.1, (i), added a supplementary reference to [IUTchI], 　Proposition 6.7