I am looking for some guidance with a question regarding
B(x,y) (piecewise defined)
={(x,y)} if x and y are odd
{(x+m, y) such that m=o, or +/- 1} if x is even and n is odd
{(x, y+n) such that n=0, or +/-1} if x is odd and n is even
{(x+m, y+n) such that m&n =o or +/-1} is x an y are both even
I need to find the closure of the set{(x,y)} for each of the 4 cases.
I tried to start and thought that for the case when x and y are both odd, Cl({(x,y)} = {[x,y]}. But I don't believe this is right.
Any suggestions? Thank you.
B(x,y) (piecewise defined)
={(x,y)} if x and y are odd
{(x+m, y) such that m=o, or +/- 1} if x is even and n is odd
{(x, y+n) such that n=0, or +/-1} if x is odd and n is even
{(x+m, y+n) such that m&n =o or +/-1} is x an y are both even
I need to find the closure of the set{(x,y)} for each of the 4 cases.
I tried to start and thought that for the case when x and y are both odd, Cl({(x,y)} = {[x,y]}. But I don't believe this is right.
Any suggestions? Thank you.