# Complete regularity is product-closed

From Topospaces

This article gives the statement, and possibly proof, of a topological space property (i.e., completely regular space) satisfying a topological space metaproperty (i.e., product-closed property of topological spaces)

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## Statement

Suppose , are topological spaces that are all completely regular spaces. Then, the product space , endowed with the product topology, is also a completely regular space.