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Q58Section II (Mathematics)58 of 180

Topology — comparing metric topologies

Let τ1,τ2\tau_1,\tau_2 be the topologies induced by metrics d1,d2d_1,d_2 on X with d1≤d2d_1\le d_2, and B1(x,r)B_1(x,r), B2(x,r)B_2(x,r) the open balls. Then:

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