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Show that the set S is a countable set if there is a
Chapter 2, Problem 33E(choose chapter or problem)
QUESTION:
Problem 33E
Show that the set S is a countable set if there is a function f from S to the positive integers such that f−1(j) is countable whenever j is a positive integer.
Questions & Answers
QUESTION:
Problem 33E
Show that the set S is a countable set if there is a function f from S to the positive integers such that f−1(j) is countable whenever j is a positive integer.
ANSWER:
Solution:
Step 1:
In this problem, we have to show that the set S is a countable set if there is a function f from s to the positive integers such that f - 1(j) is countable.