I managed to make this big diagram in Inkscape adding the codes in LaTeX using the plugin
textext. See this question for more.
I wish I knew how to draw the big diagram about dual linear spaces with the help of PGF/TikZ.
Like I said I could make this figure in Inkscape. But as you can see when I post the StackExchange she gets off with low resolution. In this figure is docoument PDF with a satisfactory resolution. But on the websites of the StackExchange resolution is not good.
I believe that with a package Tikz I can solve the problem. So I posted this question here.
On the coments below: Soon my problem is:
If I use Inkscape I can control the position of the starting and end point of the arcs in each node. But to lose in resolution.
If you use commands TikZ as usual I lose control over the position of the end point and initial arcs in each node. For the package TikZ endpoints and initials of each arc in a position pre-defined package TikZ.
Question: How to solve this problem?