Inter-universal Teichmuller Theory I ------------------------------------ ・Corrected a misprint in Proposition 6.5, (iii) ("-structure" ---> "-group structure") ・Changed a slightly misleading reference in Example 3.5, (i), to [FrdI], Theorem 6.4, (iii),  to a reference to [FrdI], Example 6.5 ・Slightly modified the phraseology of the explanation following the first display of  Definition 4.1, (ii) ・Slightly modified the final portion of Remark 6.12.6, (i) Inter-universal Teichmuller Theory II ------------------------------------- ・Slightly modified the expressions used in Corollary 1.12, (a), (ii)  ("open" ---> "finite index open") ・Slightly modified the discussion following the first display of Proposition 3.4, (i)  ("lower horizontal" ---> "lower/middle horizontal") ・Added a supplementary explanation at the beginning of Propositions 4.1, (iv); 4.3, (iv) ・Corrected a misprint in the first display of Proposition 4.3 ・Added a supplementary explanation to the end of Corollary 4.7, (ii) ・Added a supplementary explanation to the discussion following the first display of  Corollary 4.8, (i) ・Slightly modified the first collection of isomorphisms of the first display of  Corollary 4.8, (ii), as well as the explanation preceding this display ・Corrected a misprint in the final sentence of Definition 4.9, (vi) Inter-universal Teichmuller Theory III -------------------------------------- ・In Proposition 2.1, (v), deleted three instances of phrase "good", since this is  automatic for archimedean primes ・Introduced associated D-prime-strips at the beginning of Definition 1.1 and used  them in Definition 1.1, (ii), to explain the notation "U_v"