Question 1
What is the main idea behind a quotient topology?
Question 2
In the quotient construction, what does the natural projection map do?
Question 3
Which statement best describes an identification space?
Question 4
If $X$ has the quotient topology induced by a surjection $q:X\to Y$, which property is built into the definition?
Question 5
What happens when the endpoints of the interval $[0,1]$ are identified in a quotient construction?
