Kindly provide me LaTeX code for this and if possible the circles in each of the boxes saying the diagram is commutative.
For one commutative diagram I have the code
\xymatrixrowsep{10mm}
\xymatrixcolsep{10mm}
\xymatrix{
\mathcal{F}(U) \ar[r] & \mathcal{G}(U) \\
\mathcal{F}(V) \ar[u] \ar[r] & \ar[u] \mathcal{G}(V)
}
This is not the code for any part of above diagram, but I am comfortable with this kind of code.
Please see if you can give code which generalizes the code that I have.
That script letters are:
\mathcal{F},\mathcal{G}.