a. Show that B is a basis for a topology of R2. Is this topology equivalent to the usual one of R² ?. b. Does this topology satisfy Frechet's property? does it satisfy the Hausdorff property? Why? c. Are the usual open balls of R² open sets in this new topology? d. Under the topology generated by B What is the lock, the interior and the boundary of the set {(x,y) ER ja ≤x

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