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A COROLLARY OF THE OBCT by Sunday OLUYEMI Transactions of NAMP Volume 10, (July and November, 2019), pp13 – 16
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A COROLLARY OF THE OBCT by Sunday OLUYEMI Transactions of NAMP Volume 10, (July and November, 2019), pp13 – 16

Former ARMTI Quarters, Off Basin Road, Ilorin, Kwara State.

Abstract

For n  ℕ, n  2, if MetricTop(ℝn) is the metric topo- logy of ℝn induced by the

Euclidean metric d|| || on ℝn, and ProductTop(ℝn) = R τ

n

 is the product topology on

ℝn = ℝℝ … ℝ of n copies of ℝ ( the usual topology of ℝ), then, MetricTop(

ℝn) = ProductTop(ℝn). We invoke the OBCT to obtain this equality.

Keywords: Usual topology of ℝ, metric topology of ℝn, product topology of ℝn.

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