A Cartesian product equipped with a "product topology" is called a product space (or product topological space, or direct product).
Product Space
See also
Cartesian ProductExplore with Wolfram|Alpha
References
Iyanaga, S. and Kawada, Y. (Eds.). "Product Spaces." §408L in Encyclopedic Dictionary of Mathematics. Cambridge, MA: MIT Press, pp. 1281-1282, 1980.Referenced on Wolfram|Alpha
Product SpaceCite this as:
Weisstein, Eric W. "Product Space." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ProductSpace.html