Assignment:
Q1. Reals with the "usual topology." Is there a way to prove this space is normal other than just saying it is normal because every metric space is normal?
Q2. Reals with the "K-topology:" basis consists of open intervals (a,b)and sets of form (a,b) - K where K = {1, 1/2, 1/3, ... } Why connected? Why 2nd countable?
Provide complete and step by step solution for the question and show calculations and use formulas.