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Non-congruent non-degenerate curves with identical signatures
We prove that while Hickman's claim holds for simple, closed curves with simple signatures, it fails for curves with non-simple signatures.
Invariants of objects and their images under surjective maps
In the former case, we establish a constructible isomorphism between the algebra of differential invariants of the images and the algebra of fiber-wise constant (gauge) differential invariants of the objects.
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