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Based on our discussion today. Owen is going to implement the geometric maps in terms of the simplex tree data structure, which is just a Trie on the sorted vertices of the simplex.
functionpullback(f::GeometricMap, u::Form)::Formdom(u) ==codom(f) ||error("Must pullback along the geometric map")
...# return value is a form over the domain(f)end
Based on our discussion today. Owen is going to implement the geometric maps in terms of the simplex tree data structure, which is just a Trie on the sorted vertices of the simplex.
Then GeometricMap is a morphism between SimplicialComplexes
Then we also need the pullback maps
Source on Whitney Forms and Interpolation for the pullbacks: https://www.sciencedirect.com/science/article/pii/S0377042721001394?via%3Dihub
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