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Summary
LaTeX Source Code
%Note: Add the -shell-escape flag to the compilation command to compile directly to an image.
%For .pdf files, use \documentclass[preview]{standalone}
%For .png files, (see http://tex.stackexchange.com/q/11866 for more info) use: \documentclass[convert={density=300,size=1080x800,outext=.png}]{standalone}
%For .svg files you need pdf2svg installed (see https://tex.stackexchange.com/a/51766/187911 for more info) use:
\documentclass [convert={outext=.svg,command=\unexpanded{pdf2svg \infile\space\outfile}},multi=false] { standalone}
\usepackage { tikz}
\usetikzlibrary { matrix,arrows,decorations.pathmorphing}
\usepackage [all] { xy}
\begin { document}
\begin { tikzpicture} [scale=2.5]
\node (NALPHAIOTAA) at (0,2) { $ N_{ \alpha ( \iota ( a )) } $ } ;
\node (NALPHAIOTAB) at (2,2) { $ N_{ \alpha ( \iota ( b )) } $ } ;
\node (NINF2) at (3.8,2) { $ N $ } ;
\node (MIOTAA) at (0,1) { $ M_{ \iota ( a ) } $ } ;
\node (MIOTAB) at (2,1) { $ M_{ \iota ( b ) } $ } ;
\node (MINF) at (3.8,1) { $ M $ } ;
\node (NA) at (0,0) { $ N_a $ } ;
\node (NB) at (2,0) { $ N_b $ } ;
\node (NINF) at (3.8,0) { $ N $ } ;
\path [->,font=\scriptsize,>=angle 90]
(NALPHAIOTAA) edge node[right]{ \scalebox { 1.5}{ $ G_{ \iota ( a ) } $ }} (MIOTAA)
(NALPHAIOTAB) edge node[right]{ \scalebox { 1.5}{ $ G_{ \iota ( b ) } $ }} (MIOTAB)
(NALPHAIOTAB) edge node[above]{ \scalebox { 1.5}{ $ \nu _{ \alpha ( \iota ( a )) , \alpha ( \iota ( b )) } $ }} (NALPHAIOTAA)
(MIOTAB) edge node[above]{ \scalebox { 1.5}{ $ \mu _{ \iota ( a ) , \iota ( b ) } $ }} (MIOTAA)
(MIOTAA) edge node[right]{ \scalebox { 1.5}{ $ F_{a} $ }} (NA)
(MIOTAB) edge node[right]{ \scalebox { 1.5}{ $ F_{b} $ }} (NB)
(NB) edge node[above]{ \scalebox { 1.5}{ $ \nu _{ab} $ }} (NA)
(NALPHAIOTAA) edge[bend right=45] node[left]{ \scalebox { 1.5}{ $ \nu _{a, \alpha ( \iota ( a )) } $ }} (NA)
(MINF) edge node[above]{ \scalebox { 1.5}{ $ \mu _{ \iota ( b ) } $ }} (MIOTAB)
(MINF) edge node[right]{ \scalebox { 1.5}{ $ F_{ \infty } $ }} (NINF)
(NINF2) edge node[right]{ \scalebox { 1.5}{ $ G_{ \infty } $ }} (MINF)
(NINF2) edge node[above]{ \scalebox { 1.5}{ $ \nu _{ \alpha ( \iota ( b )) } $ }} (NALPHAIOTAB)
(NINF) edge node[above]{ \scalebox { 1.5}{ $ \nu _b $ }} (NB);
\end { tikzpicture}
\end { document}
Licensing
I, the copyright holder of this work, hereby publish it under the following license:
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Under the following conditions:
attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original. https://creativecommons.org/licenses/by-sa/4.0 CC BY-SA 4.0 Creative Commons Attribution-Share Alike 4.0 true true English Equivalence transformation of Inverse Systems Diagram 4 - From N to M to N with limits of the Inverse System Morphisms
File history
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Date/Time Thumbnail Dimensions User Comment
current 19:57, 7 April 2021 483 × 206 (40 KB) Mgkrupa Made morphisms easier to read.
00:49, 7 April 2021 383 × 202 (40 KB) Mgkrupa Uploaded own work with UploadWizard
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