Question 1
What is an identification space in topology, in the simplest sense?
Question 2
Which map is used to pass from a space to its identification space?
Question 3
Suppose all points in a subspace $A$ of a space $X$ are identified to a single point. What is this process called?
Question 4
In the quotient topology, when is a set $U$ in the identification space open?
Question 5
What is a main reason identification spaces are useful in topology?