Here's two more question I'm working on in test prep.
2.) Let Y = [-1,1] have the standard topology. Which of the following sets are open in Y, and which are open in R.
A= (1,1/2) \cup (-1/2,-1)
B= (1,1/2] \cup [-1/2,-1)
C= [1,1/2) \cup (-1/2,-1]
D= [1,1/2] \cup [-1/2,-1]
E= \cup...