1) Prove that the map GIVEN BY is a homomorphism between the real line and open interval (-1,1).
2) Let be the map given by
a) show that f is a bijection map
b) show that f is a continuous map
c) If f a homomorphism? Justify your answer.
Please see the attached file for the fully formatted problems.
Homomorphisms, Bijection Map and Continuous Map are investigated. The solution is detailed and well presented.