Animals/Taxa/Refinement/Exercise
< Animals
We consider on the set of all placental mammals the following equivalence relations: "belonging to the same genus“, "belonging to the same family“, "belonging to the same species“, "belonging to the same class“, "belonging to the same order“. Which equivalence relation are a refinement of which equivalence relation? Determine, for any two equivalence relations, two animals, that are equivalent with respect to one relation but not equivalent with respect to the other. How many equivalence classes does the equivalence relation for the order have?