Inter-universal Teichmuller Theory I
------------------------------------

・Updated the Acknowledgements

・Added a new paragraph at the end of \S I2

・Slightly modified the discussion of tempered groups and temperoids in \S 0

・Added Remark 2.5.3, as well as references to this new remark throughout the paper; added "[QuCnf]" to the Bibliography

・Added items (iii), (iv) to Remark 3.1.7 and made corresponding adjustments as follows:

　・Added items (vi) and (vii) to the statement of Lemma 2.7 and adjusted the proof of Lemma 2.7 accordingly 
　　(cf. the last two paragraphs of this proof) 

　・Slightly modified the second and final sentences of Definition 3.1, (b) (added the notation "F_{sol}" and 
　　the condition "of degree prime to l")

　・In Remark 3.1.7, (i), introduced notation ("|C_L|") for the coarse space associated to C_L and made corresponding 
　　adjustments

　・Slightly modified the first display, together with the discussion immediately preceding this display, of 
　　Remark 3.1.7, (ii)

　・Rewrote the portion of Example 4.3, (i), that follows the second display of Example 4.3, (i)

　・Rewrote the portion of Example 5.1, (i), that follows the fifth display of Example 5.1, (i)

　・Rewrote Example 5.1, (v)

　・Made slight modifications to Remark 5.1.3

　・Added Remark 5.1.5, as well as references to this new remark in Example 5.1, (i), and Remark 5.1.3

　・Added "[GlSol]" to the Bibliography


Inter-universal Teichmuller Theory II
-------------------------------------
・Added a phrase concerning "shifts by 2-torsion points" in the Abstract and the first paragraph of the Introduction (2 instances)

・Corrected misprints (2 instances) on the RHS's of the defining equalities in the second display of Corollary 3.6, (ii)

・Made various adjustments corresponding to the newly added items (iii), (iv) of [IUTchI], Remark 3.1.7 (cf. also [IUTchI], Example 5.1,
　(i), (v); [IUTchI], Remark 5.1.5) as follows:

　・Slightly modified the third display, as well as the explanation immediately preceding the third display, of Corollary 4.7, (i)

　・Slightly modified the third display, as well as the explanation immediately following the third display, of Corollary 4.7, (ii)

　・Slightly modified the wording of Remark 4.7.2, (b) (and the discussion immediately preceding it)

　・Slightly modified the second display of Corollary 4.8, (i)

　・Slightly modified the first display, as well as the explanation immediately following the first display, of Corollary 4.8, (ii)

・Corrected a misprint ("precicely" ---> "precisely") in Remark 4.7.2

・Added an explanatory sentence at the end of Remark 4.7.3, (ii)

・Repositioned the word "only" in the first sentence of Remark 4.7.6 (so as to avoid possible misunderstandings concerning the intended 
　sense of this word)


Inter-universal Teichmuller Theory III
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・Modified the wording of various portions of Remark 1.5.2, (i), (ii), to take into account the newly added/revised portions of 
　[IUTchI], [IUTchII] (namely, [IUTchI], Remark 3.1.7, (iii), (iv); [IUTchI], Example 5.1, (i), (v); [IUTchI], Remark 5.1.5; 
　[IUTchII], Corollaries 4.7, 4.8; [IUTchII], Remark 4.7.2)

・Corrected a misprint in Remark 2.3.4, (ii) ("it order" ---> "in order")


Inter-universal Teichmuller Theory IV
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・Added item (viii) to Remark 2.3.1