Product Topology
The topology on the Cartesian product
This definition extends in a natural way to the Cartesian product of any finite number
where
In the definition of product topology of
The product topology is also called Tychonoff topology, but this should not cause any confusion with the notion of Tychonoff space, which has a completely different meaning.
This entry contributed by Margherita Barile
Cullen, H.F. Introduction to General Topology. Boston, MA: Heath, pp.65-91, 1968.
Joshi, K.D. "Product Topology." §8.2 in Introduction to General Topology. New Delhi, India: Wiley, pp.196-203, 1983.
McCarty, G. "Tychonoff for Two." In Topology, an Introduction with Application to Topological Groups. New York: McGraw-Hill, pp.154-157, 1967.
Willard, S. "Product Spaces, Weak Topologies." §8 in General Topology. Reading, MA: Addison-Wesley, pp.52-59, 1970.
Referenced on Wolfram|Alpha: Product TopologyCITE THIS AS:Barile, Margherita. "Product Topology." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. //mathworld.wolfram.com/ProductTopology.html