Hi! I’m trying to implement local charts, like in differential geometry. And I’m not really sure what would be the best way to do it in Julia.
A chart is a pair (U, f), U is an open set and f is a function from the open set to Rn.
In a object oriented language I would make an object for with all the parameters needed to define the open set, and methods for f, its inverse, its derivatives, and see if a point x is in the corresponding domain. However not sure how to structure this properly.
The easy approach is to have one class for the parameters with a key, and then arrays with the corresponding methods of each kind, However it fills wrong.
Any ideas?