"This class provides a map between two grids which are derived from the same coarse grid."

Now, what is meant by "the same coarse grid"? Could, say, the two Triangulation objects corresponding to the two DoFHandlers be completely independent, as long as they have originated from two coarse grids that have the same dimensions and grid spacing?
Additionally, you need that the cells are ordered and oriented the same way. But, as Wolfgang commented, your example covered that.

Guido
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