Show that:
a) ℝ/≅T, with T = {x ∈ ℂ : |x| = 1} and a≠ 0.
b) mathdsCx/T≅ ℝ+.
c) Let G = (C[0, 1], +), A = {1,1/2,1/3, ...,1/n} and N = {f ∈ G : f(a) = 0 for all a ∈ A }.
Prove that G/N≅ℝn