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Consider Z with the following metric: d(m,n) = {0 when m = n; 1+m-n when m = 0} The topology induced by the metric

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Consider Z with the following metric: d(m,n) = {0 when m = n; 1+m-n when m = 0} The topology induced by the metric gives open balls as B,(m,s) = {y Z s.l. d(m,n) < x) Select each and every set that is an open ball in the topology on Z induced by d (there are 3 out of 5). (-3-2-1,0,1,2,3) 15,16,17, (12,13) DK-7-6-5-4-3)

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