Abstract
There is a complete classification of dimetric phenomenologically symmetric geometries of two sets (DPS GTS’s) of rank (n +1, 2), n = 1, 2, …. One can see from this classification that some geometries include geometries of the preceding rank. Such an embedding can be established (or disproved) by solving the corresponding functional equation that express the fact of embedding of geometries in terms of the defining metric functions.
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