Mapping arrows in commutative diagrams
In making commutative diagrams in tikz-cd I've been wanting to add in 'mapping' arrows that describe what particular elements map to, parallel to the main diagram arrows.
I've been doing it in the following way, which seems fairly clumsy since the 'map' arrows are separated from the main diagram at a large distance, when ideally they would be close by and parallel to the corresponding maps. What would be a better way to do this?
documentclass{article}
usepackage{tikz-cd}
begin{document}
begin{tikzcd}
a arrow[r, maps to] & phi(a) & \
Rarrow[r, hook, "phi"] arrow[dr, hook, "iota"] & K & phi(k) \
a arrow[dr, maps to] & Q(R) arrow[u, dotted, "exists ! Phi"'] & frac{a}{1} arrow[u, maps to] \
& frac{a}{1} &
end{tikzcd}
end{document}
tikz-cd commutative-diagrams
New contributor
add a comment |
In making commutative diagrams in tikz-cd I've been wanting to add in 'mapping' arrows that describe what particular elements map to, parallel to the main diagram arrows.
I've been doing it in the following way, which seems fairly clumsy since the 'map' arrows are separated from the main diagram at a large distance, when ideally they would be close by and parallel to the corresponding maps. What would be a better way to do this?
documentclass{article}
usepackage{tikz-cd}
begin{document}
begin{tikzcd}
a arrow[r, maps to] & phi(a) & \
Rarrow[r, hook, "phi"] arrow[dr, hook, "iota"] & K & phi(k) \
a arrow[dr, maps to] & Q(R) arrow[u, dotted, "exists ! Phi"'] & frac{a}{1} arrow[u, maps to] \
& frac{a}{1} &
end{tikzcd}
end{document}
tikz-cd commutative-diagrams
New contributor
(1) welcome, (2) as always on this site please post a full minimal example instead of a sniplet. Then it is a lot easier to help, especially when we don't have to guess.
– daleif
10 hours ago
add a comment |
In making commutative diagrams in tikz-cd I've been wanting to add in 'mapping' arrows that describe what particular elements map to, parallel to the main diagram arrows.
I've been doing it in the following way, which seems fairly clumsy since the 'map' arrows are separated from the main diagram at a large distance, when ideally they would be close by and parallel to the corresponding maps. What would be a better way to do this?
documentclass{article}
usepackage{tikz-cd}
begin{document}
begin{tikzcd}
a arrow[r, maps to] & phi(a) & \
Rarrow[r, hook, "phi"] arrow[dr, hook, "iota"] & K & phi(k) \
a arrow[dr, maps to] & Q(R) arrow[u, dotted, "exists ! Phi"'] & frac{a}{1} arrow[u, maps to] \
& frac{a}{1} &
end{tikzcd}
end{document}
tikz-cd commutative-diagrams
New contributor
In making commutative diagrams in tikz-cd I've been wanting to add in 'mapping' arrows that describe what particular elements map to, parallel to the main diagram arrows.
I've been doing it in the following way, which seems fairly clumsy since the 'map' arrows are separated from the main diagram at a large distance, when ideally they would be close by and parallel to the corresponding maps. What would be a better way to do this?
documentclass{article}
usepackage{tikz-cd}
begin{document}
begin{tikzcd}
a arrow[r, maps to] & phi(a) & \
Rarrow[r, hook, "phi"] arrow[dr, hook, "iota"] & K & phi(k) \
a arrow[dr, maps to] & Q(R) arrow[u, dotted, "exists ! Phi"'] & frac{a}{1} arrow[u, maps to] \
& frac{a}{1} &
end{tikzcd}
end{document}
tikz-cd commutative-diagrams
tikz-cd commutative-diagrams
New contributor
New contributor
edited 10 hours ago
Merk Zockerborg
New contributor
asked 10 hours ago
Merk ZockerborgMerk Zockerborg
214
214
New contributor
New contributor
(1) welcome, (2) as always on this site please post a full minimal example instead of a sniplet. Then it is a lot easier to help, especially when we don't have to guess.
– daleif
10 hours ago
add a comment |
(1) welcome, (2) as always on this site please post a full minimal example instead of a sniplet. Then it is a lot easier to help, especially when we don't have to guess.
– daleif
10 hours ago
(1) welcome, (2) as always on this site please post a full minimal example instead of a sniplet. Then it is a lot easier to help, especially when we don't have to guess.
– daleif
10 hours ago
(1) welcome, (2) as always on this site please post a full minimal example instead of a sniplet. Then it is a lot easier to help, especially when we don't have to guess.
– daleif
10 hours ago
add a comment |
2 Answers
2
active
oldest
votes
You can reduce the spacing, but in my opinion it's clearer and more elegant if you make two diagrams.
documentclass{article}
usepackage{amsmath}
usepackage{tikz-cd}
begin{document}
[
begin{tikzcd}
a arrow[r, maps to] & phi(a) &[-2em] \[-4ex]
Rarrow[r, hook, "phi"] arrow[dr, hook, "iota"] & K & phi(a) \
& Q(R) arrow[u, dotted, "exists ! Phi"'] & frac{a}{1} arrow[u, maps to] \[-10ex]
a arrow[dr, maps to] \
& frac{a}{1} &
end{tikzcd}
]
[
begin{tikzcd}
Rarrow[r, hook, "phi"] arrow[dr, hook, "iota"] & K &
a arrow[r, maps to,"phi"] arrow[dr, maps to,"iota"] & phi(a) \
& Q(R) arrow[u, dotted, "exists ! Phi"'] &
& frac{a}{1} arrow[u, maps to,"Phi"']
end{tikzcd}
]
end{document}
I might try playing around with the spacing, thanks
– Merk Zockerborg
10 hours ago
add a comment |
This is my proposal
documentclass[tikz]{standalone}
usetikzlibrary{arrows,cd,positioning}
tikzset{|/.tip={Bar[width=.8ex,round]}} %https://tex.stackexchange.com/a/252544/156344
begin{document}
begin{tikzpicture}
node (r) at (0,0) {$R$};
node (k) at (3,0) {$K$};
node (q) at (3,-3) {$Q(R)$};
node (ra) at (0,.8) {$a$};
node (ka) at (3,.8) {$phi(a)$};
node (kb) at (4,0) {$phi(k)$};
node (qb) at (4,-3) {$frac a1$};
path (q) node[below left=1em and 1em] (qc) {$frac a1$};
path (r) node[below left=1em and 1em] (rc) {$a$};
draw[right hook->] (r)--(k) node[midway,above] {$scriptstylephi$};
draw[right hook->] (r)--(q) node[midway,above right] {$scriptstyleiota$};
draw[dotted,->] (q)--(k) node[midway,right] {$scriptstyleexists!Phi$};
draw[|->] (ra) edge (ka) (qb) edge (kb) (rc) edge (qc);
end{tikzpicture}
end{document}
add a comment |
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2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
votes
active
oldest
votes
active
oldest
votes
You can reduce the spacing, but in my opinion it's clearer and more elegant if you make two diagrams.
documentclass{article}
usepackage{amsmath}
usepackage{tikz-cd}
begin{document}
[
begin{tikzcd}
a arrow[r, maps to] & phi(a) &[-2em] \[-4ex]
Rarrow[r, hook, "phi"] arrow[dr, hook, "iota"] & K & phi(a) \
& Q(R) arrow[u, dotted, "exists ! Phi"'] & frac{a}{1} arrow[u, maps to] \[-10ex]
a arrow[dr, maps to] \
& frac{a}{1} &
end{tikzcd}
]
[
begin{tikzcd}
Rarrow[r, hook, "phi"] arrow[dr, hook, "iota"] & K &
a arrow[r, maps to,"phi"] arrow[dr, maps to,"iota"] & phi(a) \
& Q(R) arrow[u, dotted, "exists ! Phi"'] &
& frac{a}{1} arrow[u, maps to,"Phi"']
end{tikzcd}
]
end{document}
I might try playing around with the spacing, thanks
– Merk Zockerborg
10 hours ago
add a comment |
You can reduce the spacing, but in my opinion it's clearer and more elegant if you make two diagrams.
documentclass{article}
usepackage{amsmath}
usepackage{tikz-cd}
begin{document}
[
begin{tikzcd}
a arrow[r, maps to] & phi(a) &[-2em] \[-4ex]
Rarrow[r, hook, "phi"] arrow[dr, hook, "iota"] & K & phi(a) \
& Q(R) arrow[u, dotted, "exists ! Phi"'] & frac{a}{1} arrow[u, maps to] \[-10ex]
a arrow[dr, maps to] \
& frac{a}{1} &
end{tikzcd}
]
[
begin{tikzcd}
Rarrow[r, hook, "phi"] arrow[dr, hook, "iota"] & K &
a arrow[r, maps to,"phi"] arrow[dr, maps to,"iota"] & phi(a) \
& Q(R) arrow[u, dotted, "exists ! Phi"'] &
& frac{a}{1} arrow[u, maps to,"Phi"']
end{tikzcd}
]
end{document}
I might try playing around with the spacing, thanks
– Merk Zockerborg
10 hours ago
add a comment |
You can reduce the spacing, but in my opinion it's clearer and more elegant if you make two diagrams.
documentclass{article}
usepackage{amsmath}
usepackage{tikz-cd}
begin{document}
[
begin{tikzcd}
a arrow[r, maps to] & phi(a) &[-2em] \[-4ex]
Rarrow[r, hook, "phi"] arrow[dr, hook, "iota"] & K & phi(a) \
& Q(R) arrow[u, dotted, "exists ! Phi"'] & frac{a}{1} arrow[u, maps to] \[-10ex]
a arrow[dr, maps to] \
& frac{a}{1} &
end{tikzcd}
]
[
begin{tikzcd}
Rarrow[r, hook, "phi"] arrow[dr, hook, "iota"] & K &
a arrow[r, maps to,"phi"] arrow[dr, maps to,"iota"] & phi(a) \
& Q(R) arrow[u, dotted, "exists ! Phi"'] &
& frac{a}{1} arrow[u, maps to,"Phi"']
end{tikzcd}
]
end{document}
You can reduce the spacing, but in my opinion it's clearer and more elegant if you make two diagrams.
documentclass{article}
usepackage{amsmath}
usepackage{tikz-cd}
begin{document}
[
begin{tikzcd}
a arrow[r, maps to] & phi(a) &[-2em] \[-4ex]
Rarrow[r, hook, "phi"] arrow[dr, hook, "iota"] & K & phi(a) \
& Q(R) arrow[u, dotted, "exists ! Phi"'] & frac{a}{1} arrow[u, maps to] \[-10ex]
a arrow[dr, maps to] \
& frac{a}{1} &
end{tikzcd}
]
[
begin{tikzcd}
Rarrow[r, hook, "phi"] arrow[dr, hook, "iota"] & K &
a arrow[r, maps to,"phi"] arrow[dr, maps to,"iota"] & phi(a) \
& Q(R) arrow[u, dotted, "exists ! Phi"'] &
& frac{a}{1} arrow[u, maps to,"Phi"']
end{tikzcd}
]
end{document}
answered 10 hours ago
egregegreg
732k8919303254
732k8919303254
I might try playing around with the spacing, thanks
– Merk Zockerborg
10 hours ago
add a comment |
I might try playing around with the spacing, thanks
– Merk Zockerborg
10 hours ago
I might try playing around with the spacing, thanks
– Merk Zockerborg
10 hours ago
I might try playing around with the spacing, thanks
– Merk Zockerborg
10 hours ago
add a comment |
This is my proposal
documentclass[tikz]{standalone}
usetikzlibrary{arrows,cd,positioning}
tikzset{|/.tip={Bar[width=.8ex,round]}} %https://tex.stackexchange.com/a/252544/156344
begin{document}
begin{tikzpicture}
node (r) at (0,0) {$R$};
node (k) at (3,0) {$K$};
node (q) at (3,-3) {$Q(R)$};
node (ra) at (0,.8) {$a$};
node (ka) at (3,.8) {$phi(a)$};
node (kb) at (4,0) {$phi(k)$};
node (qb) at (4,-3) {$frac a1$};
path (q) node[below left=1em and 1em] (qc) {$frac a1$};
path (r) node[below left=1em and 1em] (rc) {$a$};
draw[right hook->] (r)--(k) node[midway,above] {$scriptstylephi$};
draw[right hook->] (r)--(q) node[midway,above right] {$scriptstyleiota$};
draw[dotted,->] (q)--(k) node[midway,right] {$scriptstyleexists!Phi$};
draw[|->] (ra) edge (ka) (qb) edge (kb) (rc) edge (qc);
end{tikzpicture}
end{document}
add a comment |
This is my proposal
documentclass[tikz]{standalone}
usetikzlibrary{arrows,cd,positioning}
tikzset{|/.tip={Bar[width=.8ex,round]}} %https://tex.stackexchange.com/a/252544/156344
begin{document}
begin{tikzpicture}
node (r) at (0,0) {$R$};
node (k) at (3,0) {$K$};
node (q) at (3,-3) {$Q(R)$};
node (ra) at (0,.8) {$a$};
node (ka) at (3,.8) {$phi(a)$};
node (kb) at (4,0) {$phi(k)$};
node (qb) at (4,-3) {$frac a1$};
path (q) node[below left=1em and 1em] (qc) {$frac a1$};
path (r) node[below left=1em and 1em] (rc) {$a$};
draw[right hook->] (r)--(k) node[midway,above] {$scriptstylephi$};
draw[right hook->] (r)--(q) node[midway,above right] {$scriptstyleiota$};
draw[dotted,->] (q)--(k) node[midway,right] {$scriptstyleexists!Phi$};
draw[|->] (ra) edge (ka) (qb) edge (kb) (rc) edge (qc);
end{tikzpicture}
end{document}
add a comment |
This is my proposal
documentclass[tikz]{standalone}
usetikzlibrary{arrows,cd,positioning}
tikzset{|/.tip={Bar[width=.8ex,round]}} %https://tex.stackexchange.com/a/252544/156344
begin{document}
begin{tikzpicture}
node (r) at (0,0) {$R$};
node (k) at (3,0) {$K$};
node (q) at (3,-3) {$Q(R)$};
node (ra) at (0,.8) {$a$};
node (ka) at (3,.8) {$phi(a)$};
node (kb) at (4,0) {$phi(k)$};
node (qb) at (4,-3) {$frac a1$};
path (q) node[below left=1em and 1em] (qc) {$frac a1$};
path (r) node[below left=1em and 1em] (rc) {$a$};
draw[right hook->] (r)--(k) node[midway,above] {$scriptstylephi$};
draw[right hook->] (r)--(q) node[midway,above right] {$scriptstyleiota$};
draw[dotted,->] (q)--(k) node[midway,right] {$scriptstyleexists!Phi$};
draw[|->] (ra) edge (ka) (qb) edge (kb) (rc) edge (qc);
end{tikzpicture}
end{document}
This is my proposal
documentclass[tikz]{standalone}
usetikzlibrary{arrows,cd,positioning}
tikzset{|/.tip={Bar[width=.8ex,round]}} %https://tex.stackexchange.com/a/252544/156344
begin{document}
begin{tikzpicture}
node (r) at (0,0) {$R$};
node (k) at (3,0) {$K$};
node (q) at (3,-3) {$Q(R)$};
node (ra) at (0,.8) {$a$};
node (ka) at (3,.8) {$phi(a)$};
node (kb) at (4,0) {$phi(k)$};
node (qb) at (4,-3) {$frac a1$};
path (q) node[below left=1em and 1em] (qc) {$frac a1$};
path (r) node[below left=1em and 1em] (rc) {$a$};
draw[right hook->] (r)--(k) node[midway,above] {$scriptstylephi$};
draw[right hook->] (r)--(q) node[midway,above right] {$scriptstyleiota$};
draw[dotted,->] (q)--(k) node[midway,right] {$scriptstyleexists!Phi$};
draw[|->] (ra) edge (ka) (qb) edge (kb) (rc) edge (qc);
end{tikzpicture}
end{document}
answered 9 hours ago
JouleVJouleV
11.7k22561
11.7k22561
add a comment |
add a comment |
Merk Zockerborg is a new contributor. Be nice, and check out our Code of Conduct.
Merk Zockerborg is a new contributor. Be nice, and check out our Code of Conduct.
Merk Zockerborg is a new contributor. Be nice, and check out our Code of Conduct.
Merk Zockerborg is a new contributor. Be nice, and check out our Code of Conduct.
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(1) welcome, (2) as always on this site please post a full minimal example instead of a sniplet. Then it is a lot easier to help, especially when we don't have to guess.
– daleif
10 hours ago