Calculate the relative (sub-space) topology with respect to theusual (metric) topology in R (the set of real numbers), for thefollowing sub-sets of R:
X = Z, where Z represents the set of integers
Y = {0} U {1 / n | n is an integer such that n> 0}
Calculate (establish who are) the closed (relative) sets for theX and Y sub-spaces defined above.
Is {0} open relative to X?
Is {0} open relative to Y?
