Composition of natural transformations diagram
3
I'd like to draw a diagram with tikz-cd for a composition of natural transformations between functors that looked like the following
The best I could do so far is given by the following code:
documentclass{article}
usepackage{amsmath,amsfonts}
usepackage{tikz-cd}
begin{document}
[
begin{tikzcd}[row sep=huge]
mathcal{A} arrow[r, bend left=65, "F"]arrow[r, "G", swap]arrow[r, bend right=65, "H", swap] & mathcal{B}.
end{tikzcd}
]
end{document}
I'm wondering how to put G over the middle arrow and how to draw the vertical arrows alpha and beta.
diagrams tikz-cd commutative-diagrams
asked 7 hours ago
VladimirVladimir
984
New contributor
Vladimir is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
add a comment |
3
I'd like to draw a diagram with tikz-cd for a composition of natural transformations between functors that looked like the following
The best I could do so far is given by the following code:
documentclass{article}
usepackage{amsmath,amsfonts}
usepackage{tikz-cd}
begin{document}
[
begin{tikzcd}[row sep=huge]
mathcal{A} arrow[r, bend left=65, "F"]arrow[r, "G", swap]arrow[r, bend right=65, "H", swap] & mathcal{B}.
end{tikzcd}
]
end{document}
I'm wondering how to put G over the middle arrow and how to draw the vertical arrows alpha and beta.
diagrams tikz-cd commutative-diagrams
asked 7 hours ago
VladimirVladimir
984
New contributor
Vladimir is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
add a comment |
3
3
3
I'd like to draw a diagram with tikz-cd for a composition of natural transformations between functors that looked like the following
The best I could do so far is given by the following code:
documentclass{article}
usepackage{amsmath,amsfonts}
usepackage{tikz-cd}
begin{document}
[
begin{tikzcd}[row sep=huge]
mathcal{A} arrow[r, bend left=65, "F"]arrow[r, "G", swap]arrow[r, bend right=65, "H", swap] & mathcal{B}.
end{tikzcd}
]
end{document}
I'm wondering how to put G over the middle arrow and how to draw the vertical arrows alpha and beta.
diagrams tikz-cd commutative-diagrams
asked 7 hours ago
VladimirVladimir
984
New contributor
Vladimir is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
I'd like to draw a diagram with tikz-cd for a composition of natural transformations between functors that looked like the following
The best I could do so far is given by the following code:
documentclass{article}
usepackage{amsmath,amsfonts}
usepackage{tikz-cd}
begin{document}
[
begin{tikzcd}[row sep=huge]
mathcal{A} arrow[r, bend left=65, "F"]arrow[r, "G", swap]arrow[r, bend right=65, "H", swap] & mathcal{B}.
end{tikzcd}
]
end{document}
I'm wondering how to put G over the middle arrow and how to draw the vertical arrows alpha and beta.
diagrams tikz-cd commutative-diagrams
diagrams tikz-cd commutative-diagrams
asked 7 hours ago
VladimirVladimir
984
New contributor
Vladimir is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 7 hours ago
VladimirVladimir
984
New contributor
Vladimir is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 7 hours ago
VladimirVladimir
984
New contributor
Vladimir is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 7 hours ago
VladimirVladimir
984
asked 7 hours ago
VladimirVladimir
984
984
New contributor
Vladimir is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
New contributor
Vladimir is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
Vladimir is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
add a comment |
add a comment |
2 Answers
2
active
oldest
votes
3
Here is one option:
documentclass{article}
usepackage{amsmath,amsfonts}
usepackage{tikz-cd}
begin{document}
[
begin{tikzcd}[row sep=huge]
mathcal{A}
arrow[r, bend left=65, "F"{name=F}]
arrow[r, "G"{inner sep=0,fill=white,anchor=center,name=G}]
arrow[r, bend right=65, "H"{name=H, swap}]
arrow[from=F.south-|G,to=G,Rightarrow,shorten=2pt,"alpha"]
arrow[from=G,to=H.north-|G,Rightarrow,shorten=2pt,"beta"] &
mathcal{B}.
end{tikzcd}
]
end{document}
answered 7 hours ago
Torbjørn T.Torbjørn T.
157k13251439
It looks perfect! But I get an error message: "I do not know the key to which you passed '2pt'..." and then "I think the culprit is a tikzcd arrow in 1-1".
– Vladimir
7 hours ago
@Vladimir Do you get that with the exact code in my answer?
– Torbjørn T.
7 hours ago
Yes, with that exact code and nothing else.
– Vladimir
6 hours ago
@Vladimir Hm, don't really know why that would be. My only wild guess would be that you have an older version oftikz-cd. I have v0.9f. If you compilelistfiles documentclass{article} usepackage{tikz-cd} begin{document} a end{document}you'll get a list of packages with their version numbers near the end of the.logfile.
– Torbjørn T.
6 hours ago
add a comment |
1
This is my option. Now there is the vertical alignment.
documentclass{article}
usepackage{amsmath,amsfonts}
usepackage{tikz-cd}
usepackage{mathrsfs}
usepackage{graphicx}
begin{document}
[
begin{tikzcd}[row sep=huge]
mathscr{A} arrow[r, "F"{sloped,above},"hspace{0.15cm}scalebox{1.5}{$Downarrow$} alpha"{sloped,below}, bend left=70] arrow[r, "hspace{0.15cm}scalebox{1.5}{$Downarrow$} beta", "H"{sloped,below}, bend right=70] arrow[r, "G" description] & mathscr{B}
end{tikzcd}
]
end{document}
Or with another package usepackage{scalerel}.
documentclass{article}
usepackage{amsmath,amsfonts}
usepackage{tikz-cd}
usepackage{mathrsfs}
usepackage{scalerel}
begin{document}
[
begin{tikzcd}[row sep=huge]
mathscr{A} arrow[r, "F"{sloped,above},"hspace{0.15cm}mathrel{stretchto{Downarrow}{2.6ex}} alpha"{sloped,below}, bend left=65] arrow[r, "hspace{0.15cm}mathrel{stretchto{Downarrow}{3ex}} beta", "H"{sloped,below}, bend right=65] arrow[r, "G" description] & mathscr{B}
end{tikzcd}
]
end{document}
answered 7 hours ago
SebastianoSebastiano
9,94041858
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
3
Here is one option:
documentclass{article}
usepackage{amsmath,amsfonts}
usepackage{tikz-cd}
begin{document}
[
begin{tikzcd}[row sep=huge]
mathcal{A}
arrow[r, bend left=65, "F"{name=F}]
arrow[r, "G"{inner sep=0,fill=white,anchor=center,name=G}]
arrow[r, bend right=65, "H"{name=H, swap}]
arrow[from=F.south-|G,to=G,Rightarrow,shorten=2pt,"alpha"]
arrow[from=G,to=H.north-|G,Rightarrow,shorten=2pt,"beta"] &
mathcal{B}.
end{tikzcd}
]
end{document}
answered 7 hours ago
Torbjørn T.Torbjørn T.
157k13251439
It looks perfect! But I get an error message: "I do not know the key to which you passed '2pt'..." and then "I think the culprit is a tikzcd arrow in 1-1".
– Vladimir
7 hours ago
@Vladimir Do you get that with the exact code in my answer?
– Torbjørn T.
7 hours ago
Yes, with that exact code and nothing else.
– Vladimir
6 hours ago
@Vladimir Hm, don't really know why that would be. My only wild guess would be that you have an older version oftikz-cd. I have v0.9f. If you compilelistfiles documentclass{article} usepackage{tikz-cd} begin{document} a end{document}you'll get a list of packages with their version numbers near the end of the.logfile.
– Torbjørn T.
6 hours ago
add a comment |
3
Here is one option:
documentclass{article}
usepackage{amsmath,amsfonts}
usepackage{tikz-cd}
begin{document}
[
begin{tikzcd}[row sep=huge]
mathcal{A}
arrow[r, bend left=65, "F"{name=F}]
arrow[r, "G"{inner sep=0,fill=white,anchor=center,name=G}]
arrow[r, bend right=65, "H"{name=H, swap}]
arrow[from=F.south-|G,to=G,Rightarrow,shorten=2pt,"alpha"]
arrow[from=G,to=H.north-|G,Rightarrow,shorten=2pt,"beta"] &
mathcal{B}.
end{tikzcd}
]
end{document}
answered 7 hours ago
Torbjørn T.Torbjørn T.
157k13251439
It looks perfect! But I get an error message: "I do not know the key to which you passed '2pt'..." and then "I think the culprit is a tikzcd arrow in 1-1".
– Vladimir
7 hours ago
@Vladimir Do you get that with the exact code in my answer?
– Torbjørn T.
7 hours ago
Yes, with that exact code and nothing else.
– Vladimir
6 hours ago
@Vladimir Hm, don't really know why that would be. My only wild guess would be that you have an older version oftikz-cd. I have v0.9f. If you compilelistfiles documentclass{article} usepackage{tikz-cd} begin{document} a end{document}you'll get a list of packages with their version numbers near the end of the.logfile.
– Torbjørn T.
6 hours ago
add a comment |
3
3
3
Here is one option:
documentclass{article}
usepackage{amsmath,amsfonts}
usepackage{tikz-cd}
begin{document}
[
begin{tikzcd}[row sep=huge]
mathcal{A}
arrow[r, bend left=65, "F"{name=F}]
arrow[r, "G"{inner sep=0,fill=white,anchor=center,name=G}]
arrow[r, bend right=65, "H"{name=H, swap}]
arrow[from=F.south-|G,to=G,Rightarrow,shorten=2pt,"alpha"]
arrow[from=G,to=H.north-|G,Rightarrow,shorten=2pt,"beta"] &
mathcal{B}.
end{tikzcd}
]
end{document}
answered 7 hours ago
Torbjørn T.Torbjørn T.
157k13251439
Here is one option:
documentclass{article}
usepackage{amsmath,amsfonts}
usepackage{tikz-cd}
begin{document}
[
begin{tikzcd}[row sep=huge]
mathcal{A}
arrow[r, bend left=65, "F"{name=F}]
arrow[r, "G"{inner sep=0,fill=white,anchor=center,name=G}]
arrow[r, bend right=65, "H"{name=H, swap}]
arrow[from=F.south-|G,to=G,Rightarrow,shorten=2pt,"alpha"]
arrow[from=G,to=H.north-|G,Rightarrow,shorten=2pt,"beta"] &
mathcal{B}.
end{tikzcd}
]
end{document}
answered 7 hours ago
Torbjørn T.Torbjørn T.
157k13251439
answered 7 hours ago
Torbjørn T.Torbjørn T.
157k13251439
answered 7 hours ago
Torbjørn T.Torbjørn T.
157k13251439
answered 7 hours ago
Torbjørn T.Torbjørn T.
157k13251439
157k13251439
It looks perfect! But I get an error message: "I do not know the key to which you passed '2pt'..." and then "I think the culprit is a tikzcd arrow in 1-1".
– Vladimir
7 hours ago
@Vladimir Do you get that with the exact code in my answer?
– Torbjørn T.
7 hours ago
Yes, with that exact code and nothing else.
– Vladimir
6 hours ago
@Vladimir Hm, don't really know why that would be. My only wild guess would be that you have an older version oftikz-cd. I have v0.9f. If you compilelistfiles documentclass{article} usepackage{tikz-cd} begin{document} a end{document}you'll get a list of packages with their version numbers near the end of the.logfile.
– Torbjørn T.
6 hours ago
add a comment |
It looks perfect! But I get an error message: "I do not know the key to which you passed '2pt'..." and then "I think the culprit is a tikzcd arrow in 1-1".
– Vladimir
7 hours ago
@Vladimir Do you get that with the exact code in my answer?
– Torbjørn T.
7 hours ago
Yes, with that exact code and nothing else.
– Vladimir
6 hours ago
@Vladimir Hm, don't really know why that would be. My only wild guess would be that you have an older version oftikz-cd. I have v0.9f. If you compilelistfiles documentclass{article} usepackage{tikz-cd} begin{document} a end{document}you'll get a list of packages with their version numbers near the end of the.logfile.
– Torbjørn T.
6 hours ago
It looks perfect! But I get an error message: "I do not know the key to which you passed '2pt'..." and then "I think the culprit is a tikzcd arrow in 1-1".
– Vladimir
7 hours ago
It looks perfect! But I get an error message: "I do not know the key to which you passed '2pt'..." and then "I think the culprit is a tikzcd arrow in 1-1".
– Vladimir
7 hours ago
@Vladimir Do you get that with the exact code in my answer?
– Torbjørn T.
7 hours ago
@Vladimir Do you get that with the exact code in my answer?
– Torbjørn T.
7 hours ago
Yes, with that exact code and nothing else.
– Vladimir
6 hours ago
Yes, with that exact code and nothing else.
– Vladimir
6 hours ago
@Vladimir Hm, don't really know why that would be. My only wild guess would be that you have an older version of
tikz-cd. I have v0.9f. If you compile listfiles documentclass{article} usepackage{tikz-cd} begin{document} a end{document} you'll get a list of packages with their version numbers near the end of the .log file.– Torbjørn T.
6 hours ago
@Vladimir Hm, don't really know why that would be. My only wild guess would be that you have an older version of
tikz-cd. I have v0.9f. If you compile listfiles documentclass{article} usepackage{tikz-cd} begin{document} a end{document} you'll get a list of packages with their version numbers near the end of the .log file.– Torbjørn T.
6 hours ago
add a comment |
1
This is my option. Now there is the vertical alignment.
documentclass{article}
usepackage{amsmath,amsfonts}
usepackage{tikz-cd}
usepackage{mathrsfs}
usepackage{graphicx}
begin{document}
[
begin{tikzcd}[row sep=huge]
mathscr{A} arrow[r, "F"{sloped,above},"hspace{0.15cm}scalebox{1.5}{$Downarrow$} alpha"{sloped,below}, bend left=70] arrow[r, "hspace{0.15cm}scalebox{1.5}{$Downarrow$} beta", "H"{sloped,below}, bend right=70] arrow[r, "G" description] & mathscr{B}
end{tikzcd}
]
end{document}
Or with another package usepackage{scalerel}.
documentclass{article}
usepackage{amsmath,amsfonts}
usepackage{tikz-cd}
usepackage{mathrsfs}
usepackage{scalerel}
begin{document}
[
begin{tikzcd}[row sep=huge]
mathscr{A} arrow[r, "F"{sloped,above},"hspace{0.15cm}mathrel{stretchto{Downarrow}{2.6ex}} alpha"{sloped,below}, bend left=65] arrow[r, "hspace{0.15cm}mathrel{stretchto{Downarrow}{3ex}} beta", "H"{sloped,below}, bend right=65] arrow[r, "G" description] & mathscr{B}
end{tikzcd}
]
end{document}
answered 7 hours ago
SebastianoSebastiano
9,94041858
add a comment |
1
This is my option. Now there is the vertical alignment.
documentclass{article}
usepackage{amsmath,amsfonts}
usepackage{tikz-cd}
usepackage{mathrsfs}
usepackage{graphicx}
begin{document}
[
begin{tikzcd}[row sep=huge]
mathscr{A} arrow[r, "F"{sloped,above},"hspace{0.15cm}scalebox{1.5}{$Downarrow$} alpha"{sloped,below}, bend left=70] arrow[r, "hspace{0.15cm}scalebox{1.5}{$Downarrow$} beta", "H"{sloped,below}, bend right=70] arrow[r, "G" description] & mathscr{B}
end{tikzcd}
]
end{document}
Or with another package usepackage{scalerel}.
documentclass{article}
usepackage{amsmath,amsfonts}
usepackage{tikz-cd}
usepackage{mathrsfs}
usepackage{scalerel}
begin{document}
[
begin{tikzcd}[row sep=huge]
mathscr{A} arrow[r, "F"{sloped,above},"hspace{0.15cm}mathrel{stretchto{Downarrow}{2.6ex}} alpha"{sloped,below}, bend left=65] arrow[r, "hspace{0.15cm}mathrel{stretchto{Downarrow}{3ex}} beta", "H"{sloped,below}, bend right=65] arrow[r, "G" description] & mathscr{B}
end{tikzcd}
]
end{document}
answered 7 hours ago
SebastianoSebastiano
9,94041858
add a comment |
1
1
1
This is my option. Now there is the vertical alignment.
documentclass{article}
usepackage{amsmath,amsfonts}
usepackage{tikz-cd}
usepackage{mathrsfs}
usepackage{graphicx}
begin{document}
[
begin{tikzcd}[row sep=huge]
mathscr{A} arrow[r, "F"{sloped,above},"hspace{0.15cm}scalebox{1.5}{$Downarrow$} alpha"{sloped,below}, bend left=70] arrow[r, "hspace{0.15cm}scalebox{1.5}{$Downarrow$} beta", "H"{sloped,below}, bend right=70] arrow[r, "G" description] & mathscr{B}
end{tikzcd}
]
end{document}
Or with another package usepackage{scalerel}.
documentclass{article}
usepackage{amsmath,amsfonts}
usepackage{tikz-cd}
usepackage{mathrsfs}
usepackage{scalerel}
begin{document}
[
begin{tikzcd}[row sep=huge]
mathscr{A} arrow[r, "F"{sloped,above},"hspace{0.15cm}mathrel{stretchto{Downarrow}{2.6ex}} alpha"{sloped,below}, bend left=65] arrow[r, "hspace{0.15cm}mathrel{stretchto{Downarrow}{3ex}} beta", "H"{sloped,below}, bend right=65] arrow[r, "G" description] & mathscr{B}
end{tikzcd}
]
end{document}
answered 7 hours ago
SebastianoSebastiano
9,94041858
This is my option. Now there is the vertical alignment.
documentclass{article}
usepackage{amsmath,amsfonts}
usepackage{tikz-cd}
usepackage{mathrsfs}
usepackage{graphicx}
begin{document}
[
begin{tikzcd}[row sep=huge]
mathscr{A} arrow[r, "F"{sloped,above},"hspace{0.15cm}scalebox{1.5}{$Downarrow$} alpha"{sloped,below}, bend left=70] arrow[r, "hspace{0.15cm}scalebox{1.5}{$Downarrow$} beta", "H"{sloped,below}, bend right=70] arrow[r, "G" description] & mathscr{B}
end{tikzcd}
]
end{document}
Or with another package usepackage{scalerel}.
documentclass{article}
usepackage{amsmath,amsfonts}
usepackage{tikz-cd}
usepackage{mathrsfs}
usepackage{scalerel}
begin{document}
[
begin{tikzcd}[row sep=huge]
mathscr{A} arrow[r, "F"{sloped,above},"hspace{0.15cm}mathrel{stretchto{Downarrow}{2.6ex}} alpha"{sloped,below}, bend left=65] arrow[r, "hspace{0.15cm}mathrel{stretchto{Downarrow}{3ex}} beta", "H"{sloped,below}, bend right=65] arrow[r, "G" description] & mathscr{B}
end{tikzcd}
]
end{document}
answered 7 hours ago
SebastianoSebastiano
9,94041858
edited 5 hours ago
answered 7 hours ago
SebastianoSebastiano
9,94041858
answered 7 hours ago
SebastianoSebastiano
9,94041858
answered 7 hours ago
SebastianoSebastiano
9,94041858
9,94041858
add a comment |
add a comment |
Vladimir is a new contributor. Be nice, and check out our Code of Conduct.
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Vladimir is a new contributor. Be nice, and check out our Code of Conduct.
Vladimir is a new contributor. Be nice, and check out our Code of Conduct.
Vladimir is a new contributor. Be nice, and check out our Code of Conduct.
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