Mathematics Homework Solutions
Problem
#49321

Borel sets and homemorphisms

If f is one-to-one, f, f^-1 are continuous, then f is called a homeomorphism.
  Now I want you to prove the following:

Let f : X -> Y, ( X and Y are topological spaces)be homeomorphism, prove that it establishes one-to-one correspondence between Borel sets in X and Y.




Solution Summary

This is a proof regarding one-to-one correspondence of Borel sets.

Solution
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