Open and closed sets
Is the following a good enough proof for (b):
Let ((x_n,y_n)) be a convergent sequence in A_2 with limit (x,y). If -1 <= y_n <= 1 for all ((x_n,y_n)) then -1 <= y <= 1 and so A_2 is closed.
Let ((x_n,y_n)) be a convergent sequence in A_2 with limit (x,y). If -1 <= y_n <= 1 for all ((x_n,y_n)) then -1 <= y <= 1 and so A_2 is closed.
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