Summary of invariance transformations and degeneracies and their connections discussed here: the transformations in the local model-independent branch of the tree are set up as global transformations in the original works, yet, they have local restrictions that are intrinsic in the gravitational lensing formalism. (1)Monopoles and generalised mass sheet transform by Liesenborgs & De Rijcke (2012), (2)sub-division of the deflection potential discussed in Wagner (2018), (3)mass sheet transformation by Falco et al. (1985) here listed under the model-based transformations as it is usually interpreted as a mass sheet but it could also be considered as a special case of the magnification transformation, (4)magnification transformation and prismatic transformation by Gorenstein et al. (1988), (5)source position transformation by Schneider & Sluse (2014) with (6)time delay investigation by Wertz et al. (2018).
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