Definition:Product Topology/Also known as

Tychonoff Topology: Also known as
The Tychonoff topology is also known as the product topology and both of these terms are commonly used on.

The topological space $\struct {\XX, \tau}$ itself is never referred to as a Tychonoff space.

This is because a Tychonoff space is a different concept altogether.

Similarly, other sources may use the terms direct product, topological product or Tychonoff product for the product space, but these terms are less precise and there exists the danger of confusion with other similar uses of these terms in different contexts.