Question 1
Which family of sets is the standard basis for the topology on $\mathbb{R}$?
Question 2
In the standard topology on $\mathbb{R}$, which set is open?
Question 3
Which statement best describes the standard topology on a metric space $X$?
Question 4
Which set is open in the standard topology on $\mathbb{R}^2$?
Question 5
Which is a basis element for the standard topology on $\mathbb{R}^2$?