Definition:Lipschitz Equivalence/Terminology

Definition

Despite the close connection with the concept of Lipschitz continuity, this concept is rarely seen in mainstream mathematics, and appears not to have a well-established name.

The name Lipschitz equivalence appears in 1975: W.A. Sutherland: Introduction to Metric and Topological Spaces:

There does not appear to be a standard name for this; the name we use is reasonably appropriate ...

Sometimes the name strong equivalence (and strongly equivalent metrics) is used.

Source of Name

This entry was named for Rudolf Otto Sigismund Lipschitz.

Sources

• 1975: W.A. Sutherland: Introduction to Metric and Topological Spaces ... (previous) ... (next): $2.4$: Equivalent metrics: Proposition $2.4.2$