Anjani Kumari posted an Question
October 18, 2021 • 13:37 pm 30 points
  • IIT JAM
  • Mathematics (MA)

(b) let :s>1 be a map and r the equivalence relation is s induced by f. let r' be any other equivalence relation in s with quotient set r and ': s- dands r be t

(b) Let :S>1 be a map and R the equivalence relation is S induced by f. Let R' be any other equivalence relation in S with quotient set R and ': S- DandS R be the natural map. Then prove that there exists S a unique map. 7: T T such that f=f°v iff R'cR. [10]

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