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Mapping arrows in commutative diagrams


Drawing mapsto arrow in TikZTikz for Commutative DiagramsPositioning arrows in commutative diagrams using TikZ-cd (or otherwise)?Writing labels crossing over other arrows in commutative diagramsNumbering commutative diagramsFlipping an Arrow in a Cubical Diagram and Crossing OverDouble arrows in commutative diagramsParallel arrows in commutative diagram in TikzCommutative diagrams with very round arrows?Drawing rectangular commutative diagramsCommutative diagrams and arrows













3















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}









share|improve this question









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Merk Zockerborg is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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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
    1 hour ago
















3















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}









share|improve this question









New contributor




Merk Zockerborg is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.





















  • (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
    1 hour ago














3












3








3








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}









share|improve this question









New contributor




Merk Zockerborg is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.












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






share|improve this question









New contributor




Merk Zockerborg is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











share|improve this question









New contributor




Merk Zockerborg is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.









share|improve this question




share|improve this question








edited 1 hour ago







Merk Zockerborg













New contributor




Merk Zockerborg is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.









asked 1 hour ago









Merk ZockerborgMerk Zockerborg

163




163




New contributor




Merk Zockerborg is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.





New contributor





Merk Zockerborg is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.






Merk Zockerborg is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.













  • (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
    1 hour 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
    1 hour 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
1 hour 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
1 hour ago










2 Answers
2






active

oldest

votes


















2














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}


enter image description here






share|improve this answer
























  • I might try playing around with the spacing, thanks

    – Merk Zockerborg
    58 mins ago



















2














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}


enter image description here






share|improve this answer
























    Your Answer








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    2 Answers
    2






    active

    oldest

    votes








    2 Answers
    2






    active

    oldest

    votes









    active

    oldest

    votes






    active

    oldest

    votes









    2














    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}


    enter image description here






    share|improve this answer
























    • I might try playing around with the spacing, thanks

      – Merk Zockerborg
      58 mins ago
















    2














    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}


    enter image description here






    share|improve this answer
























    • I might try playing around with the spacing, thanks

      – Merk Zockerborg
      58 mins ago














    2












    2








    2







    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}


    enter image description here






    share|improve this answer













    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}


    enter image description here







    share|improve this answer












    share|improve this answer



    share|improve this answer










    answered 1 hour ago









    egregegreg

    732k8919303253




    732k8919303253













    • I might try playing around with the spacing, thanks

      – Merk Zockerborg
      58 mins ago



















    • I might try playing around with the spacing, thanks

      – Merk Zockerborg
      58 mins ago

















    I might try playing around with the spacing, thanks

    – Merk Zockerborg
    58 mins ago





    I might try playing around with the spacing, thanks

    – Merk Zockerborg
    58 mins ago











    2














    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}


    enter image description here






    share|improve this answer




























      2














      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}


      enter image description here






      share|improve this answer


























        2












        2








        2







        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}


        enter image description here






        share|improve this answer













        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}


        enter image description here







        share|improve this answer












        share|improve this answer



        share|improve this answer










        answered 16 mins ago









        JouleVJouleV

        11.7k22561




        11.7k22561






















            Merk Zockerborg is a new contributor. Be nice, and check out our Code of Conduct.










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            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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