・Rewrote Remark 2.1.1
・In the "where ..." immediately following the second (respectively, second; first) display of Corollary 3.6 (respectively,
4.5; 5.5), replaced "--- ... ---" by "[...]" or ", ...," (so as to avoid confusion arising from nested instances of
"--- ... ---")
・Slightly modified the wording of the final portion of the statement of Corollary 5.2, (i), (iv), (vii)
・In the statement of Corollary 5.2, (vii), added a supplementary reference to Definition 5.1, (iv)
・In Remark 5.2.2, replaced the arrows which are equivalences by more appropriate notation
・In Definition 5.3, (i), (ii), (iii) corrected a notational inaccuracy ("Th" ---> "Th_T", 7 instances) in the
various statements concerning fibered categories
・In Definition 5.3, (ii), corrected a slight ambiguity in the definition of a morphism of [+]-line bundles
・In Definition 5.3, (iii), corrected a slight notational inaccuracy ("M" ---> "M_TLG", 2 instances) in the
argument of "\mu"
・In Remark 5.3.1, corrected a slight notational inaccuracy ("M" ---> "M_T", 2 instances)
・Corrected a misprint in Definition 5.4, (ii) ("such which" ---> "which")
・In Corollary 5.5, (iii), corrected a misprint concerning the notation used to denote the two observables
defined there
・Corrected a misprint in the explanation following the first display of the proof of Corollary 5.5 (interchanged
"space-link" and "post-log")
・Added a reference to Definition 3.1, (i), (iii), at the beginning of Definition 5.6, (i)
・In Definition 5.6, (i), slightly modified the definition of the category "TB" ("surfaces" ---> "orbisurfaces...")
・In Definition 5.6, (ii), slightly modified the notation for "isomorphism classes"
・Corrected misprints (missing subscript "1"'s and "2"'s and superscript "\circledcirc"'s for various "W"'s) in
the second to last display of Definition 5.6, (ii), and the explanation immediately following this display
・Corrected a misprint in the center of the first line of the first display of Definition 5.6, (iii), as well as
as corresponding misprint in the explanation immediately following this display
・In Definition 5.6, (iii), (iv), added supplementary explanatory phrases concerning the "mono-analyticization functors"
that appear
・In the second to last sentence of Remark 5.6.1, (ii), added the word "underlying"
・Corrected a misprint in the notation expressing the "bijection" that appears in the proof of Proposition
5.7, (i), (c)
・In the statement of Proposition 5.8, (i), slightly modified the description of the cardinality of the residue field
・Corrected a misprint in the third display of the statement of Proposition 5.8, (vi), by adding an explanatory phrase
immediately preceding this display
・At the beginning of the statement of Proposition 5.8, (vii), added a reference to Definition 5.4, (i)
・Slighly modified the wording at the end of the final sentence of Remark 5.8.1, (i)
・Added a reference to Remark 5.3.1 to the discussion preceding the third display of Remark 5.9.1
・Slightly modified the explanation following the final display of Remark 5.9.1
・Slightly reworded the explanation immediately following the second display of the statement of Corollary 5.10
・In the discussion of mono-analyticization functors surrounding the third display of the statement of Corollary 5.10,
added references to Definition 5.4, (iv), (vi), as well as thethe discussion of panalocalization functors in Corollary
5.5, (vi)
・In the discussion following the fourth display of the statement of Corollary 5.10, corrected a misprint ("obtain" --->
"obtained") and replaced "[where ...]" by ", where ...,"
・In the statement of Corollary 5.10, replaced "a shell-arrow"/"the shell-arrows" by "the shell-arrow" (4 instances)
・Added a reference to item (i) in the discussion at the beginning of the statement of Corollary 5.10, (iv)
・Slightly modified the phrasing ("isomorphism" ---> "natural isomorphism") at the beginning of the statement of
Corollary 5.10, (iv), (c)
・Reworded the final sentence of the statement of Corollary 5.10, (iv), (d)
・Slightly modified the phrasing of the discussion of algorithms involving abelianizations in the proof of Corollary 5.10
・Added a reference to Definition 5.9, (iii), in Remark 5.10.2, (ii)
・Rewrote Remark 5.10.2, (iv)
・Corrected a misprint ("concerning following Corollaries" ---> "following Corollaries") in Remark 5.10.2, (vi)
・In Remark 5.10.3, (ii), slightly modified the wording following the phrase "preparatory step"
・Corrected a misprint in Remark 5.10.3, (vi) ("Theorem 2.3" ---> "Chapter II, Theorem 2.3")
・Slightly modified the text of item (CM5) of the Appendix and added items [Andre], [HM1], and [HM2] to the
Bibliography