product topology
（ plural ）
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(topology) The topology of the Cartesian product of two or more topological spaces which is generated from a basis whose elements are Cartesian products of open subsets of the original spaces, such that for each such Cartesian product only a finite quantity of such subsets are proper.
product topology
When considering infinite products of topological spaces, the product topology is defined so that a set is open if it is a union of basic open sets in which only finitely many coordinates are proper open subsets of the corresponding spaces.
When considering infinite products of topological spaces, the product topology is defined so that a set is open if it is a union of basic open sets in which only finitely many coordinates are proper open subsets of the corresponding spaces.
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