Group the objects into classes so that all the elements within each class are topologically equivalent and no elements from different classes are topologically equivalent.
A) A, B and D; C
B) A; B and D; C
C) A; B, C and D
D) A,B,C, and D
E) A, C and D; B

Question

Group the objects into classes so that all the elements within each class are topologically equivalent and no elements from different classes are topologically equivalent. 
A) A, B and D; C 
B) A; B and D; C 
C) A; B, C and D 
D) A,B,C, and D 
E) A, C and D; B

Quizplus · Accepted Answer

Objects A, B, and D are topologically equivalent because they all have the same number of holes, while object C has a different number of holes. Therefore, grouping A, B, and D into one class and C into another class makes the most sense. Within the class of A, B, and D, they cannot be further grouped as they have the same number of holes and same genus. Therefore, the answer is B: A; B and D; C.

Group the Objects into Classes So That All the Elements