Hi, 

If FindStatMap's are morphisms, why don't you make the class FindStatMaps 
inherit from Homset (instead of directly from Parent) and the class 
FindStatMap inherit from Morphism (instead of directly from Element) ? I.e. 
why don't you use something like:

class FindStatMap(Morphism):
    def __init__(self, parent, entry):
        ...
        Morphism.__init__(self, parent)
        ...

class FindStatMaps(Homset, UniqueRepresentation):
    def __init__(self, ...):        
        ...
        Homset.__init__(self, domain, codomain)
        ...

Best wishes,

Eric.

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