Show that the set S is a countable set if there is a

Chapter 2, Problem 33E

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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.

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