This is TeX, Version 3.14159 (Web2C 7.3.1) (format=latex 2000.3.7)  22 JAN 2001 09:35
**submersions.tex
(submersions.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/amslatex/amsart.cls
Document Class: amsart 1997/03/26 v1.2r
\linespacing=\dimen102
\normalparindent=\dimen103
\normaltopskip=\skip41
(/usr/share/texmf/tex/latex/amslatex/amsgen.sty
File: amsgen 1996/10/29 v1.2b
\@emptytoks=\toks14
\ex@=\dimen104
)
(/usr/share/texmf/tex/latex/amslatex/amsmath.sty
Package: amsmath 1997/03/20 v1.2d AMS math features
\@mathmargin=\skip42

(/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=\toks15
\ex@=\dimen105
))
(/usr/share/texmf/tex/latex/amslatex/amsbsy.sty
Package: amsbsy 1996/10/28 v1.2b
\pmbraise@=\dimen106
)
(/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@=\count79
\leftroot@=\count80
\classnum@=\count81
\DOTSCASE@=\count82
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=\dimen107
LaTeX Font Info:    Redeclaring font encoding OML on input line 500.
LaTeX Font Info:    Redeclaring font encoding OMS on input line 501.
\skewcharcount@=\count83
\familycount@=\count84
\pointcount@=\count85
\accentdimen@=\dimen108
\accentmu@=\count86
\minaw@=\dimen109
\c@MaxMatrixCols=\count87
\dotsspace@=\muskip10
\c@parentequation=\count88
\dspbrk@lvl=\count89
\tag@help=\toks16
\row@=\count90
\column@=\count91
\maxfields@=\count92
\andhelp@=\toks17
\eqnshift@=\dimen110
\alignsep@=\dimen111
\tagshift@=\dimen112
\tagwidth@=\dimen113
\totwidth@=\dimen114
\lineht@=\dimen115
\@envbody=\toks18
\multlinegap=\skip43
\multlinetaggap=\skip44
)
LaTeX Font Info:    Try loading font information for U+msa on input line 368.

(/usr/share/texmf/tex/latex/amsfonts/umsa.fd
File: umsa.fd 1995/01/05 v2.2e AMS font definitions
)
(/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.
)
\copyins=\insert233
\abstractbox=\box28
\listisep=\skip45
\c@part=\count93
\c@section=\count94
\c@subsection=\count95
\c@subsubsection=\count96
\c@paragraph=\count97
\c@figure=\count98
\c@table=\count99
\abovecaptionskip=\skip46
\belowcaptionskip=\skip47
\captionindent=\dimen116

(/usr/share/texmf/tex/latex/amslatex/amsthm.sty
Package: amsthm 1996/10/24 v1.2d
\thm@style=\toks19
\thm@bodyfont=\toks20
\thm@headfont=\toks21
\thm@notefont=\toks22
\thm@headpunct=\toks23
\thm@preskip=\skip48
\thm@postskip=\skip49
))
\c@theorem=\count100
 (submersions.aux)
\openout1 = `submersions.aux'.

LaTeX Font Info:    Checking defaults for OML/cmm/m/it on input line 70.
LaTeX Font Info:    ... okay on input line 70.
LaTeX Font Info:    Checking defaults for T1/cmr/m/n on input line 70.
LaTeX Font Info:    ... okay on input line 70.
LaTeX Font Info:    Checking defaults for OT1/cmr/m/n on input line 70.
LaTeX Font Info:    ... okay on input line 70.
LaTeX Font Info:    Checking defaults for OMS/cmsy/m/n on input line 70.
LaTeX Font Info:    ... okay on input line 70.
LaTeX Font Info:    Checking defaults for OMX/cmex/m/n on input line 70.
LaTeX Font Info:    ... okay on input line 70.
LaTeX Font Info:    Checking defaults for U/cmr/m/n on input line 70.
LaTeX Font Info:    ... okay on input line 70.
LaTeX Font Info:    Try loading font information for U+msa on input line 70.

(/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 70.

(/usr/share/texmf/tex/latex/amsfonts/umsb.fd
File: umsb.fd 1995/01/05 v2.2e AMS font definitions
) [1] [2] [3] [4]
Overfull \hbox (8.62624pt too wide) in paragraph at lines 410--410
[] 
 []


Underfull \vbox (badness 1867) has occurred while \output is active []

 [5]
[6] [7] [8]
LaTeX Font Info:    Try loading font information for U+euf on input line 641.
 (/usr/share/texmf/tex/latex/amsfonts/ueuf.fd
File: ueuf.fd 1995/01/05 v2.2e AMS font definitions
) [9] [10] [11]
[12] [13] (submersions.aux) ) 
Here is how much of TeX's memory you used:
 1277 strings out of 10898
 12964 string characters out of 96882
 69034 words of memory out of 263001
 4074 multiletter control sequences out of 10000+0
 11939 words of font info for 46 fonts, out of 400000 for 1000
 175 hyphenation exceptions out of 1000
 34i,18n,32p,248b,419s stack positions out of 300i,100n,500p,50000b,4000s

Output written on submersions.dvi (13 pages, 78528 bytes).