Assignment:
Q1. Prove that the open interval (-π/2,π/2) considered as a subspace of the real number system, topologically equivalent to the real number system.
Q2. Prove that any two open intervals, considered as subspaces of the real number system, are topologically equivalent.
Q3. Prove that any open interval, considered as a subspace of the real number system, is topologically equivalent to the real number system.
Provide complete and step by step solution for the question and show calculations and use formulas.