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Warning: this is an htmlized version!
The original is here, and the conversion rules are here. |
% (find-LATEX "2022cwm.tex")
% (defun c () (interactive) (find-LATEXsh "lualatex -record 2022cwm.tex" :end))
% (defun C () (interactive) (find-LATEXSH "lualatex 2022cwm.tex" "Success!!!"))
% (defun D () (interactive) (find-pdf-page "~/LATEX/2022cwm.pdf"))
% (defun d () (interactive) (find-pdftools-page "~/LATEX/2022cwm.pdf"))
% (defun e () (interactive) (find-LATEX "2022cwm.tex"))
% (defun u () (interactive) (find-latex-upload-links "2022cwm"))
% (defun v () (interactive) (find-2a '(e) '(d)))
% (defun cv () (interactive) (C) (ee-kill-this-buffer) (v) (g))
% (defun d0 () (interactive) (find-ebuffer "2022cwm.pdf"))
% (code-eec-LATEX "2022cwm")
% (find-pdf-page "~/LATEX/2022cwm.pdf")
% (find-sh0 "cp -v ~/LATEX/2022cwm.pdf /tmp/")
% (find-sh0 "cp -v ~/LATEX/2022cwm.pdf /tmp/pen/")
% file:///home/edrx/LATEX/2022cwm.pdf
% file:///tmp/2022cwm.pdf
% file:///tmp/pen/2022cwm.pdf
% http://angg.twu.net/LATEX/2022cwm.pdf
% (find-LATEX "2019.mk")
% (find-lualatex-links "2022cwm" "cw2")
\documentclass[oneside,12pt]{article}
\usepackage[colorlinks,citecolor=DarkRed,urlcolor=DarkRed]{hyperref} % (find-es "tex" "hyperref")
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{pict2e}
\usepackage[x11names,svgnames]{xcolor} % (find-es "tex" "xcolor")
%\usepackage{colorweb} % (find-es "tex" "colorweb")
%\usepackage{tikz}
%
% (find-dn6 "preamble6.lua" "preamble0")
\usepackage{proof} % For derivation trees ("%:" lines)
\input diagxy % For 2D diagrams ("%D" lines)
%\xyoption{curve} % For the ".curve=" feature in 2D diagrams
%
\usepackage{edrx21} % (find-LATEX "edrx21.sty")
\input edrxaccents.tex % (find-LATEX "edrxaccents.tex")
\input edrx21chars.tex % (find-LATEX "edrx21chars.tex")
\input edrxheadfoot.tex % (find-LATEX "edrxheadfoot.tex")
\input edrxgac2.tex % (find-LATEX "edrxgac2.tex")
%\input 2017planar-has-defs.tex % (find-LATEX "2017planar-has-defs.tex")
%
%\usepackage[backend=biber,
% style=alphabetic]{biblatex} % (find-es "tex" "biber")
%\addbibresource{catsem-slides.bib} % (find-LATEX "catsem-slides.bib")
%
% (find-es "tex" "geometry")
\begin{document}
\catcode`\^^J=10
\directlua{dofile "dednat6load.lua"} % (find-LATEX "dednat6load.lua")
%\printbibliography
% (find-books "__cats/__cats.el" "maclane")
% (find-cwm2page (+ 13 90) "3. Reflective Subcategories")
%
% B |--> C(B,-) C(B,C) g B -g-> C
% ^ | | - ^ ^
% f| <-> |f^* | | f| / g∘f f^* = λg.g∘f
% | v v v | /
% A |--> C(A,-) C(A,C) f^*g=g∘f A
%
% C(B,B) id_B
% | -
% | | f = f^*id_B
% v v
% C(A,B) f^*id_B
%
% C(B,A) e B -e>> A all f^*s are epi
% | - ^ ^ implies
% v | f| / id_A f is split monic
% v v ^ /
% C(A,A) id_A A
%
% C(B,C) h∘e B -e>> A f is split monic
% | - ^ ^ \ implies
% v | f| id_A \ h all f^*s are epi
% v v ^ / v
% C(A,C) h = h∘e∘f A ---h----> C
%
% C(B,-) C(B,C) B -g-> C
% v v ^ ^ all f^*s are monic
% |f^* |f^* f^ / g∘f iff
% v v | / f is epi
% C(A,-) C(A,C) A
%
%
%
%
%
% LRB LA <--| A 1 LRB <--| RB <--| B
% | | | | | | |
% | | <-> | | | <-> | <-| |
% v v v v v v |
% B B |--> RB B |---> B(LRB,B) C |---> RC <--| C
%
% B <-L- A A(LRB,-) B <-L-- A <---- B
% -R-> B ------> Set --R->
%
% B(B,-)
% \
% v
% B(LRB,-)
%
%D diagram adjunction-1
%D 2Dx 100 +20 +20 +20 +20
%D 2D 100 A0 A2 <-| A3 A6 A9
%D 2D | | | | |
%D 2D | | <-> | | |
%D 2D v v v v v
%D 2D +20 A1 A4 |-> A5 A7 A10
%D 2D ^ ^
%D 2D +15 AC0 AC1 <> AC2 | |
%D 2D | |
%D 2D +5 A8 A11
%D 2D
%D 2D +15 AC3 AC4
%D 2D
%D # ren ==>
%D
%D (( A0 A1 ->
%D AC0 place
%D A2 A3 <-|
%D A2 A4 ->
%D A3 A5 ->
%D A4 A5 |->
%D A2 A5 harrownodes nil 20 nil <->
%D AC1 AC2 <- sl^ .plabel= a L
%D AC1 AC2 -> sl_ .plabel= b R
%D A6 A7 ->
%D A7 A8 <-
%D AC3 place
%D A9 A10 ->
%D A10 A11 <-
%D AC4 place
%D
%D ))
%D enddiagram
%D
$$\pu
\diag{adjunction-1}
$$
\GenericWarning{Success:}{Success!!!} % Used by `M-x cv'
\end{document}
% __ __ _
% | \/ | __ _| | _____
% | |\/| |/ _` | |/ / _ \
% | | | | (_| | < __/
% |_| |_|\__,_|_|\_\___|
%
% <make>
* (eepitch-shell)
* (eepitch-kill)
* (eepitch-shell)
# (find-LATEXfile "2019planar-has-1.mk")
make -f 2019.mk STEM=2022cwm veryclean
make -f 2019.mk STEM=2022cwm pdf
% Local Variables:
% coding: utf-8-unix
% indent-tabs-mode: nil
% ee-tla: "cw2"
% End: