Proposition 6.2.6.label Let $\bracs{(X_i, \fU_i)}_{i \in I}$ be a family of uniform spaces, then the topology $\topo_{U}$ induced by the product uniformity coincides the product topology $\topo_{P}$.
Proof. By Proposition 6.2.4.$\square$
Proposition 6.2.6.label Let $\bracs{(X_i, \fU_i)}_{i \in I}$ be a family of uniform spaces, then the topology $\topo_{U}$ induced by the product uniformity coincides the product topology $\topo_{P}$.
Proof. By Proposition 6.2.4.$\square$
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