Lewis Elder Barrett
Abstract
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In this paper the Cartesian product topology for an arbitrary family of topological spaces and some of its basic properties are defined. The space is investigated to determine which of the separation properties of the component spaces are invariant.
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In this paper the Cartesian product topology for an arbitrary family of topological spaces and some of its basic properties are defined. The space is investigated to determine which of the separation properties of the component spaces are invariant.
Key concepts: Product topology, Cartesian product, Function space, Topological space, Invariant (physics), Topology (electrical circuits), Mathematics, Product (mathematics)