# Definition:Product Topology/Also known as

Jump to navigation
Jump to search

## Product Topology: Also known as

The **product topology** is also known as the **Tychonoff topology**, named for Andrey Nikolayevich Tychonoff.

While both of these terms are commonly used on $\mathsf{Pr} \infty \mathsf{fWiki}$, the preference is for **product topology**.

Various other terms can be found in the literature for the **product space**, for example:

**direct product****topological product****Tychonoff product**

but these terms are less precise, and there exists the danger of confusion with other similar uses of these terms in different contexts.

Note that 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.