This is TeX, Version 3.14159 (Web2C 7.3.1) (format=latex 1999.9.25)  3 DEC 1999 13:25
**talk2.tex
(talk2.tex
LaTeX2e <1998/12/01> patch level 1
Babel <v3.6x> and hyphenation patterns for american, french, german, ngerman, i
talian, nohyphenation, loaded.
(/usr/share/texmf/tex/latex/base/article.cls
Document Class: article 1999/01/07 v1.4a Standard LaTeX document class
(/usr/share/texmf/tex/latex/base/size12.clo
File: size12.clo 1999/01/07 v1.4a Standard LaTeX file (size option)
)
\c@part=\count79
\c@section=\count80
\c@subsection=\count81
\c@subsubsection=\count82
\c@paragraph=\count83
\c@subparagraph=\count84
\c@figure=\count85
\c@table=\count86
\abovecaptionskip=\skip41
\belowcaptionskip=\skip42
\bibindent=\dimen102
)
(/usr/share/texmf/tex/latex/amslatex/amsmath.sty
Package: amsmath 1997/03/20 v1.2d AMS math features
\@mathmargin=\skip43

(/usr/share/texmf/tex/latex/amslatex/amstext.sty
Package: amstext 1996/10/28 v1.2b

(/usr/share/texmf/tex/latex/amslatex/amsgen.sty
File: amsgen 1996/10/29 v1.2b
\@emptytoks=\toks14
\ex@=\dimen103
))
(/usr/share/texmf/tex/latex/amslatex/amsbsy.sty
Package: amsbsy 1996/10/28 v1.2b
\pmbraise@=\dimen104
)
(/usr/share/texmf/tex/latex/amslatex/amsopn.sty
Package: amsopn 1996/10/28 v1.2b operator names
)
LaTeX Info: Redefining \frac on input line 188.
\uproot@=\count87
\leftroot@=\count88
\classnum@=\count89
\DOTSCASE@=\count90
LaTeX Info: Redefining \dots on input line 335.
LaTeX Info: Redefining \ldots on input line 418.
LaTeX Info: Redefining \cdots on input line 422.
\Mathstrutbox@=\box26
\strutbox@=\box27
\big@size=\dimen105
LaTeX Font Info:    Redeclaring font encoding OML on input line 500.
LaTeX Font Info:    Redeclaring font encoding OMS on input line 501.
\skewcharcount@=\count91
\familycount@=\count92
\pointcount@=\count93
\accentdimen@=\dimen106
\accentmu@=\count94
\minaw@=\dimen107
\c@MaxMatrixCols=\count95
\dotsspace@=\muskip10
\c@parentequation=\count96
\dspbrk@lvl=\count97
\tag@help=\toks15
\row@=\count98
\column@=\count99
\maxfields@=\count100
\andhelp@=\toks16
\eqnshift@=\dimen108
\alignsep@=\dimen109
\tagshift@=\dimen110
\tagwidth@=\dimen111
\totwidth@=\dimen112
\lineht@=\dimen113
\@envbody=\toks17
\multlinegap=\skip44
\multlinetaggap=\skip45
)
(/usr/share/texmf/tex/latex/amsfonts/amsfonts.sty
Package: amsfonts 1997/09/17 v2.2e
\symAMSa=\mathgroup4
\symAMSb=\mathgroup5
LaTeX Font Info:    Overwriting math alphabet `\mathfrak' in version `bold'
(Font)                  U/euf/m/n --> U/euf/b/n on input line 133.
)
(/usr/share/texmf/tex/latex/amsfonts/amssymb.sty
Package: amssymb 1996/11/03 v2.2b
)
(/usr/share/texmf/tex/latex/amslatex/amsthm.sty
Package: amsthm 1996/10/24 v1.2d
\thm@style=\toks18
\thm@bodyfont=\toks19
\thm@headfont=\toks20
\thm@notefont=\toks21
\thm@headpunct=\toks22
\thm@preskip=\skip46
\thm@postskip=\skip47
)
(/usr/share/texmf/tex/generic/xypic/xy.sty
(/usr/share/texmf/tex/generic/xypic/xy.tex Bootstrap'ing: catcodes, docmode,
(/usr/share/texmf/tex/generic/xypic/xyrecat.tex)
(/usr/share/texmf/tex/generic/xypic/xyidioms.tex)

 Xy-pic version 3.7 <1999/02/16>
 Copyright (c) 1991-1998 by Kristoffer H. Rose <krisrose@ens-lyon.fr>
 Xy-pic is free software: see the User's Guide for details.

Loading kernel: messages; fonts; allocations: state,
\X@c=\dimen114
\Y@c=\dimen115
\U@c=\dimen116
\D@c=\dimen117
\L@c=\dimen118
\R@c=\dimen119
\Edge@c=\toks23
\X@p=\dimen120
\Y@p=\dimen121
\U@p=\dimen122
\D@p=\dimen123
\L@p=\dimen124
\R@p=\dimen125
\Edge@p=\toks24
\X@origin=\dimen126
\Y@origin=\dimen127
\X@xbase=\dimen128
\Y@xbase=\dimen129
\X@ybase=\dimen130
\Y@ybase=\dimen131
\X@min=\dimen132
\Y@min=\dimen133
\X@max=\dimen134
\Y@max=\dimen135
\lastobjectbox@=\box28
\zerodotbox@=\box29
\almostz@=\dimen136
 direction,
\d@X=\dimen137
\d@Y=\dimen138
\K@=\count101
\KK@=\count102
\Direction=\count103
\K@dXdY=\dimen139
\K@dYdX=\dimen140
\xyread@=\read1
\xywrite@=\write3
\csp@=\count104
\quotPTK@=\dimen141

utility macros; pictures: \xy, positions,
\swaptoks@@=\toks25
\connectobjectbox@@=\box30
 objects,
\styletoks@=\toks26
 decorations;
kernel objects: directionals, circles, text; options; algorithms: directions,
edges, connections;  Xy-pic loaded)
Package: xy 1999/02/16 Xy-pic version 3.7

(/usr/share/texmf/tex/generic/xypic/xyall.tex
 Xy-pic option: All features v.3.3
(/usr/share/texmf/tex/generic/xypic/xycurve.tex
 Xy-pic option: Curve and Spline extension v.3.7 curve,
\crv@cnt@=\count105
\crvpts@=\toks27
\splinebox@=\box31
\splineval@=\dimen142
\splinedepth@=\dimen143
\splinetol@=\dimen144
\splinelength@=\dimen145
 circles,
\L@=\dimen146
 loaded)
(/usr/share/texmf/tex/generic/xypic/xyframe.tex
 Xy-pic option: Frame and Bracket extension v.3.7 loaded)
(/usr/share/texmf/tex/generic/xypic/xycmtip.tex
 Xy-pic option: Computer Modern tip extension v.3.3
(/usr/share/texmf/tex/generic/xypic/xytips.tex
 Xy-pic option: More Tips extension v.3.3 loaded) loaded)
(/usr/share/texmf/tex/generic/xypic/xyline.tex
 Xy-pic option: Line styles extension v.3.6
\xylinethick@=\dimen147
 loaded)
(/usr/share/texmf/tex/generic/xypic/xyrotate.tex
 Xy-pic option: Rotate and Scale extension v.3.3 loaded)
(/usr/share/texmf/tex/generic/xypic/xycolor.tex
 Xy-pic option: Colour extension v.3.3 loaded)
(/usr/share/texmf/tex/generic/xypic/xymatrix.tex
 Xy-pic option: Matrix feature v.3.4
\Row=\count106
\Col=\count107
\queue@=\toks28
\queue@@=\toks29
\qcount@=\count108
\qcount@@=\count109
\matrixsize@=\count110
 loaded)
(/usr/share/texmf/tex/generic/xypic/xyarrow.tex
 Xy-pic option: Arrow and Path feature v.3.5 path, \ar, loaded)
(/usr/share/texmf/tex/generic/xypic/xygraph.tex
 Xy-pic option: Graph feature v.3.7 loaded) loaded))
\c@theorem=\count111
 (talk2.aux)
\openout1 = `talk2.aux'.

LaTeX Font Info:    Checking defaults for OML/cmm/m/it on input line 64.
LaTeX Font Info:    ... okay on input line 64.
LaTeX Font Info:    Checking defaults for T1/cmr/m/n on input line 64.
LaTeX Font Info:    ... okay on input line 64.
LaTeX Font Info:    Checking defaults for OT1/cmr/m/n on input line 64.
LaTeX Font Info:    ... okay on input line 64.
LaTeX Font Info:    Checking defaults for OMS/cmsy/m/n on input line 64.
LaTeX Font Info:    ... okay on input line 64.
LaTeX Font Info:    Checking defaults for OMX/cmex/m/n on input line 64.
LaTeX Font Info:    ... okay on input line 64.
LaTeX Font Info:    Checking defaults for U/cmr/m/n on input line 64.
LaTeX Font Info:    ... okay on input line 64.
LaTeX Font Info:    Try loading font information for U+msa on input line 69.

(/usr/share/texmf/tex/latex/amsfonts/umsa.fd
File: umsa.fd 1995/01/05 v2.2e AMS font definitions
)
LaTeX Font Info:    Try loading font information for U+msb on input line 69.

(/usr/share/texmf/tex/latex/amsfonts/umsb.fd
File: umsb.fd 1995/01/05 v2.2e AMS font definitions
) [1

]
Underfull \hbox (badness 10000) in paragraph at lines 84--96

 []


Overfull \hbox (9.7203pt too wide) in paragraph at lines 97--106
\OT1/cmr/m/n/17.28 (YET...) have the pre-cise algebro-geometric struc-
 []

[2] (talk2-01.xyc)
Overfull \hbox (101.78227pt too wide) detected at line 122
[]
 []

(talk2-02.xyc) (talk2-03.xyc)
Overfull \hbox (53.8587pt too wide) detected at line 147
[]
 []

[3]

Package amsfonts Warning: Obsolete command \Bbb; \mathbb should be used instead
 on input line 167.


Overfull \hbox (24.61723pt too wide) detected at line 186
\OMS/cmsy/m/n/17.28 f\OML/cmm/m/it/17.28 ^^R \OT1/cmr/m/n/17.28 : \OML/cmm/m/it
/17.28 ^^R\OT1/cmr/m/n/17.28 (\OML/cmm/m/it/17.28 a; b\OT1/cmr/m/n/17.28 ) = (\
OML/cmm/m/it/17.28 ^^M[]\OT1/cmr/m/n/17.28 (\OML/cmm/m/it/17.28 a\OT1/cmr/m/n/1
7.28 )\OML/cmm/m/it/17.28 ; ^^Q\OT1/cmr/m/n/17.28 (\OML/cmm/m/it/17.28 b\OT1/cm
r/m/n/17.28 )) : \OML/cmm/m/it/17.28 ^^M[] \OMS/cmsy/m/n/17.28 2 \OT1/cmr/m/n/1
7.28 (\OT1/cmr/bx/n/17.28 Z\OML/cmm/m/it/17.28 =N\OT1/cmr/m/n/17.28 )[]\U/msb/m
/n/17.28 o\OML/cmm/m/it/17.28 ^^V[]; ^^Q \OMS/cmsy/m/n/17.28 2 \OT1/cmr/m/n/17.
28 ^^F[]\OMS/cmsy/m/n/17.28 g\OML/cmm/m/it/17.28 ;
 []

[4] (talk2-04.xyc) [5] [6]
Overfull \hbox (37.52289pt too wide) in paragraph at lines 255--260
\OT1/cmr/m/n/17.28 It is pos-si-ble to de-com-pose $[][]\OMS/cmsy/m/n/17.28 W$ 
\OT1/cmr/m/n/17.28 in the cat-e-gory of Grothendieck
 []


Overfull \hbox (22.04588pt too wide) in paragraph at lines 255--260
\OT1/cmr/m/n/17.28 mo-tives [ho-mo-log-i-cal equiv-a-lence, ten-sor with $\OT1/
cmr/bx/n/17.28 Q\OT1/cmr/m/n/17.28 ([] \OML/cmm/m/it/17.28 a[] [] \OT1/cmr/m/n/
17.28 )$].
 []


Overfull \hbox (8.15318pt too wide) detected at line 264
\OML/cmm/m/it/17.28 M[] \OT1/cmr/m/n/17.28 := \OMS/cmsy/m/n/17.28 f\OT1/cmr/m/n
/17.28 (\OML/cmm/m/it/17.28 E; \OT1/cmr/m/n/17.28 (\OT1/cmr/bx/n/17.28 Z\OML/cm
m/m/it/17.28 =N\OT1/cmr/m/n/17.28 )[][]\OML/cmm/m/it/17.28 ; C \OMS/cmsy/m/n/17
.28 ^^Z \OML/cmm/m/it/17.28 E\OT1/cmr/m/n/17.28 [\OML/cmm/m/it/17.28 p\OT1/cmr/
m/n/17.28 ][])\OMS/cmsy/m/n/17.28 g
 []

(talk2-05.xyc) (talk2-06.xyc) [7]
Underfull \hbox (badness 10000) in paragraph at lines 294--295

 []

[8] (talk2.aux) ) 
Here is how much of TeX's memory you used:
 3353 strings out of 10898
 37390 string characters out of 96881
 125049 words of memory out of 263001
 6254 multiletter control sequences out of 10000+0
 19329 words of font info for 76 fonts, out of 400000 for 1000
 14 hyphenation exceptions out of 1000
 27i,12n,24p,575b,534s stack positions out of 300i,100n,500p,50000b,4000s

Output written on talk2.dvi (8 pages, 17372 bytes).
